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Finding the Fourth Proportional to 99,939,903.20, 149,909,854.80 and 48,854,693.60

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Solution

The fourth proportional to 99,939,903.20, 149,909,854.80 and 48,854,693.60 is: 73,282,040.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,939,903.20 : 149,909,854.80 = 48,854,693.60 : x
  2. Step 2: Convert to fraction form
    99,939,903.20/149,909,854.80 = 48,854,693.60/x
  3. Step 3: Cross multiply
    99,939,903.20x = 149,909,854.80 × 48,854,693.60
  4. Step 4: Simplify right side
    99,939,903.20x = 7,323,800,023,874,490
  5. Step 5: Solve for x
    x = 7,323,800,023,874,490/99,939,903.20
  6. Step 6: Final answer
    x = 73,282,040.40

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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.