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Finding the Fourth Proportional to 52,451.57, 72,392.53 and 30,940

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Solution

The fourth proportional to 52,451.57, 72,392.53 and 30,940 is: 42,702.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,451.57 : 72,392.53 = 30,940 : x
  2. Step 2: Convert to fraction form
    52,451.57/72,392.53 = 30,940/x
  3. Step 3: Cross multiply
    52,451.57x = 72,392.53 × 30,940
  4. Step 4: Simplify right side
    52,451.57x = 2,239,824,878.20
  5. Step 5: Solve for x
    x = 2,239,824,878.20/52,451.57
  6. Step 6: Final answer
    x = 42,702.72

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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.