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Finding the Fourth Proportional to 42,431, 63,675.72 and 14,729

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Solution

The fourth proportional to 42,431, 63,675.72 and 14,729 is: 22,103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,431 : 63,675.72 = 14,729 : x
  2. Step 2: Convert to fraction form
    42,431/63,675.72 = 14,729/x
  3. Step 3: Cross multiply
    42,431x = 63,675.72 × 14,729
  4. Step 4: Simplify right side
    42,431x = 937,879,679.88
  5. Step 5: Solve for x
    x = 937,879,679.88/42,431
  6. Step 6: Final answer
    x = 22,103.64

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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.