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Finding the Fourth Proportional to 42,486.56, 63,731.16 and 14,406.20

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Solution

The fourth proportional to 42,486.56, 63,731.16 and 14,406.20 is: 21,609.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,486.56 : 63,731.16 = 14,406.20 : x
  2. Step 2: Convert to fraction form
    42,486.56/63,731.16 = 14,406.20/x
  3. Step 3: Cross multiply
    42,486.56x = 63,731.16 × 14,406.20
  4. Step 4: Simplify right side
    42,486.56x = 918,123,837.19
  5. Step 5: Solve for x
    x = 918,123,837.19/42,486.56
  6. Step 6: Final answer
    x = 21,609.75

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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.