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Finding the Fourth Proportional to 115,406.82, 172,654.74 and 87,407.55

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Solution

The fourth proportional to 115,406.82, 172,654.74 and 87,407.55 is: 130,766.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,406.82 : 172,654.74 = 87,407.55 : x
  2. Step 2: Convert to fraction form
    115,406.82/172,654.74 = 87,407.55/x
  3. Step 3: Cross multiply
    115,406.82x = 172,654.74 × 87,407.55
  4. Step 4: Simplify right side
    115,406.82x = 15,091,327,819.29
  5. Step 5: Solve for x
    x = 15,091,327,819.29/115,406.82
  6. Step 6: Final answer
    x = 130,766.34

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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.