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Finding the Fourth Proportional to 42,663, 64,023.66 and 14,961

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Solution

The fourth proportional to 42,663, 64,023.66 and 14,961 is: 22,451.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,663 : 64,023.66 = 14,961 : x
  2. Step 2: Convert to fraction form
    42,663/64,023.66 = 14,961/x
  3. Step 3: Cross multiply
    42,663x = 64,023.66 × 14,961
  4. Step 4: Simplify right side
    42,663x = 957,857,977.26
  5. Step 5: Solve for x
    x = 957,857,977.26/42,663
  6. Step 6: Final answer
    x = 22,451.73

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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.