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Finding the Fourth Proportional to 84,892.74, 127,386.90 and 78,200.52

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Solution

The fourth proportional to 84,892.74, 127,386.90 and 78,200.52 is: 117,344.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,892.74 : 127,386.90 = 78,200.52 : x
  2. Step 2: Convert to fraction form
    84,892.74/127,386.90 = 78,200.52/x
  3. Step 3: Cross multiply
    84,892.74x = 127,386.90 × 78,200.52
  4. Step 4: Simplify right side
    84,892.74x = 9,961,721,821.19
  5. Step 5: Solve for x
    x = 9,961,721,821.19/84,892.74
  6. Step 6: Final answer
    x = 117,344.80

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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.