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Finding the Fourth Proportional to 42,650, 63,960.73 and 14,180.39

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Solution

The fourth proportional to 42,650, 63,960.73 and 14,180.39 is: 21,265.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,650 : 63,960.73 = 14,180.39 : x
  2. Step 2: Convert to fraction form
    42,650/63,960.73 = 14,180.39/x
  3. Step 3: Cross multiply
    42,650x = 63,960.73 × 14,180.39
  4. Step 4: Simplify right side
    42,650x = 906,988,096.08
  5. Step 5: Solve for x
    x = 906,988,096.08/42,650
  6. Step 6: Final answer
    x = 21,265.84

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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.