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Finding the Fourth Proportional to 171,691.68, 257,498.16 and 47,042.40

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Solution

The fourth proportional to 171,691.68, 257,498.16 and 47,042.40 is: 70,552.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,691.68 : 257,498.16 = 47,042.40 : x
  2. Step 2: Convert to fraction form
    171,691.68/257,498.16 = 47,042.40/x
  3. Step 3: Cross multiply
    171,691.68x = 257,498.16 × 47,042.40
  4. Step 4: Simplify right side
    171,691.68x = 12,113,331,441.98
  5. Step 5: Solve for x
    x = 12,113,331,441.98/171,691.68
  6. Step 6: Final answer
    x = 70,552.82

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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.