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Finding the Fourth Proportional to 52,689.68, 72,782.76 and 42,154.64

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Solution

The fourth proportional to 52,689.68, 72,782.76 and 42,154.64 is: 58,230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,689.68 : 72,782.76 = 42,154.64 : x
  2. Step 2: Convert to fraction form
    52,689.68/72,782.76 = 42,154.64/x
  3. Step 3: Cross multiply
    52,689.68x = 72,782.76 × 42,154.64
  4. Step 4: Simplify right side
    52,689.68x = 3,068,131,046.01
  5. Step 5: Solve for x
    x = 3,068,131,046.01/52,689.68
  6. Step 6: Final answer
    x = 58,230.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.