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Finding the Fourth Proportional to 103,459.80, 155,189.70 and 92,306.10

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Solution

The fourth proportional to 103,459.80, 155,189.70 and 92,306.10 is: 138,459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,459.80 : 155,189.70 = 92,306.10 : x
  2. Step 2: Convert to fraction form
    103,459.80/155,189.70 = 92,306.10/x
  3. Step 3: Cross multiply
    103,459.80x = 155,189.70 × 92,306.10
  4. Step 4: Simplify right side
    103,459.80x = 14,324,955,967.17
  5. Step 5: Solve for x
    x = 14,324,955,967.17/103,459.80
  6. Step 6: Final answer
    x = 138,459.15

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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.