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Finding the Fourth Proportional to 47,740.32, 71,686.44 and 39,402

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Solution

The fourth proportional to 47,740.32, 71,686.44 and 39,402 is: 59,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,740.32 : 71,686.44 = 39,402 : x
  2. Step 2: Convert to fraction form
    47,740.32/71,686.44 = 39,402/x
  3. Step 3: Cross multiply
    47,740.32x = 71,686.44 × 39,402
  4. Step 4: Simplify right side
    47,740.32x = 2,824,589,108.88
  5. Step 5: Solve for x
    x = 2,824,589,108.88/47,740.32
  6. Step 6: Final answer
    x = 59,165.69

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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.