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Finding the Fourth Proportional to 71,442, 107,154.77 and 18,855.59

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Solution

The fourth proportional to 71,442, 107,154.77 and 18,855.59 is: 28,281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,442 : 107,154.77 = 18,855.59 : x
  2. Step 2: Convert to fraction form
    71,442/107,154.77 = 18,855.59/x
  3. Step 3: Cross multiply
    71,442x = 107,154.77 × 18,855.59
  4. Step 4: Simplify right side
    71,442x = 2,020,465,779.61
  5. Step 5: Solve for x
    x = 2,020,465,779.61/71,442
  6. Step 6: Final answer
    x = 28,281.20

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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.