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Finding the Fourth Proportional to 121,318,905.60, 181,978,358.40 and 99,777,830.40

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Solution

The fourth proportional to 121,318,905.60, 181,978,358.40 and 99,777,830.40 is: 149,666,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,318,905.60 : 181,978,358.40 = 99,777,830.40 : x
  2. Step 2: Convert to fraction form
    121,318,905.60/181,978,358.40 = 99,777,830.40/x
  3. Step 3: Cross multiply
    121,318,905.60x = 181,978,358.40 × 99,777,830.40
  4. Step 4: Simplify right side
    121,318,905.60x = 18,157,405,780,905,616
  5. Step 5: Solve for x
    x = 18,157,405,780,905,616/121,318,905.60
  6. Step 6: Final answer
    x = 149,666,745.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.