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Finding the Fourth Proportional to 42,702, 64,053 and 13,518

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Solution

The fourth proportional to 42,702, 64,053 and 13,518 is: 20,277

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,702 : 64,053 = 13,518 : x
  2. Step 2: Convert to fraction form
    42,702/64,053 = 13,518/x
  3. Step 3: Cross multiply
    42,702x = 64,053 × 13,518
  4. Step 4: Simplify right side
    42,702x = 865,868,454
  5. Step 5: Solve for x
    x = 865,868,454/42,702
  6. Step 6: Final answer
    x = 20,277

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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.