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Finding the Fourth Proportional to 99,420.60, 137,202.78 and 56,403.00

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Solution

The fourth proportional to 99,420.60, 137,202.78 and 56,403.00 is: 77,837.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,420.60 : 137,202.78 = 56,403.00 : x
  2. Step 2: Convert to fraction form
    99,420.60/137,202.78 = 56,403.00/x
  3. Step 3: Cross multiply
    99,420.60x = 137,202.78 × 56,403.00
  4. Step 4: Simplify right side
    99,420.60x = 7,738,647,674.32
  5. Step 5: Solve for x
    x = 7,738,647,674.32/99,420.60
  6. Step 6: Final answer
    x = 77,837.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.