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Finding the Fourth Proportional to 42,411.78, 63,617.70 and 14,709.78

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Solution

The fourth proportional to 42,411.78, 63,617.70 and 14,709.78 is: 22,064.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,411.78 : 63,617.70 = 14,709.78 : x
  2. Step 2: Convert to fraction form
    42,411.78/63,617.70 = 14,709.78/x
  3. Step 3: Cross multiply
    42,411.78x = 63,617.70 × 14,709.78
  4. Step 4: Simplify right side
    42,411.78x = 935,802,371.11
  5. Step 5: Solve for x
    x = 935,802,371.11/42,411.78
  6. Step 6: Final answer
    x = 22,064.68

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1.5x scale

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.