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Finding the Fourth Proportional to 261,068.80, 391,603.50 and 71,530.78

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Solution

The fourth proportional to 261,068.80, 391,603.50 and 71,530.78 is: 107,296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,068.80 : 391,603.50 = 71,530.78 : x
  2. Step 2: Convert to fraction form
    261,068.80/391,603.50 = 71,530.78/x
  3. Step 3: Cross multiply
    261,068.80x = 391,603.50 × 71,530.78
  4. Step 4: Simplify right side
    261,068.80x = 28,011,701,847.71
  5. Step 5: Solve for x
    x = 28,011,701,847.71/261,068.80
  6. Step 6: Final answer
    x = 107,296.25

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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.