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Finding the Fourth Proportional to 42,483, 63,753.75 and 14,781

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Solution

The fourth proportional to 42,483, 63,753.75 and 14,781 is: 22,181.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,483 : 63,753.75 = 14,781 : x
  2. Step 2: Convert to fraction form
    42,483/63,753.75 = 14,781/x
  3. Step 3: Cross multiply
    42,483x = 63,753.75 × 14,781
  4. Step 4: Simplify right side
    42,483x = 942,344,178.75
  5. Step 5: Solve for x
    x = 942,344,178.75/42,483
  6. Step 6: Final answer
    x = 22,181.68

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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.