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Finding the Fourth Proportional to 56,442, 84,652.20 and 28,354.53

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Solution

The fourth proportional to 56,442, 84,652.20 and 28,354.53 is: 42,526.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,442 : 84,652.20 = 28,354.53 : x
  2. Step 2: Convert to fraction form
    56,442/84,652.20 = 28,354.53/x
  3. Step 3: Cross multiply
    56,442x = 84,652.20 × 28,354.53
  4. Step 4: Simplify right side
    56,442x = 2,400,273,344.47
  5. Step 5: Solve for x
    x = 2,400,273,344.47/56,442
  6. Step 6: Final answer
    x = 42,526.37

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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.