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Finding the Fourth Proportional to 172,520.64, 258,780.80 and 77,639.92

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Solution

The fourth proportional to 172,520.64, 258,780.80 and 77,639.92 is: 116,459.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,520.64 : 258,780.80 = 77,639.92 : x
  2. Step 2: Convert to fraction form
    172,520.64/258,780.80 = 77,639.92/x
  3. Step 3: Cross multiply
    172,520.64x = 258,780.80 × 77,639.92
  4. Step 4: Simplify right side
    172,520.64x = 20,091,720,609.54
  5. Step 5: Solve for x
    x = 20,091,720,609.54/172,520.64
  6. Step 6: Final answer
    x = 116,459.81

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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.