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Finding the Fourth Proportional to 171,547.52, 257,151 and 81,432.32

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Solution

The fourth proportional to 171,547.52, 257,151 and 81,432.32 is: 122,067.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,547.52 : 257,151 = 81,432.32 : x
  2. Step 2: Convert to fraction form
    171,547.52/257,151 = 81,432.32/x
  3. Step 3: Cross multiply
    171,547.52x = 257,151 × 81,432.32
  4. Step 4: Simplify right side
    171,547.52x = 20,940,402,520.32
  5. Step 5: Solve for x
    x = 20,940,402,520.32/171,547.52
  6. Step 6: Final answer
    x = 122,067.65

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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.