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Finding the Fourth Proportional to 102,753.46, 153,985.76 and 77,436.20

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Solution

The fourth proportional to 102,753.46, 153,985.76 and 77,436.20 is: 116,045.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,753.46 : 153,985.76 = 77,436.20 : x
  2. Step 2: Convert to fraction form
    102,753.46/153,985.76 = 77,436.20/x
  3. Step 3: Cross multiply
    102,753.46x = 153,985.76 × 77,436.20
  4. Step 4: Simplify right side
    102,753.46x = 11,924,072,396.68
  5. Step 5: Solve for x
    x = 11,924,072,396.68/102,753.46
  6. Step 6: Final answer
    x = 116,045.46

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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.