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Finding the Fourth Proportional to 106,306.39, 159,459.80 and 99,811.00

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Solution

The fourth proportional to 106,306.39, 159,459.80 and 99,811.00 is: 149,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,306.39 : 159,459.80 = 99,811.00 : x
  2. Step 2: Convert to fraction form
    106,306.39/159,459.80 = 99,811.00/x
  3. Step 3: Cross multiply
    106,306.39x = 159,459.80 × 99,811.00
  4. Step 4: Simplify right side
    106,306.39x = 15,915,841,200.10
  5. Step 5: Solve for x
    x = 15,915,841,200.10/106,306.39
  6. Step 6: Final answer
    x = 149,716.70

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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.