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Finding the Fourth Proportional to 86,256, 129,384.56 and 30,095.88

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Solution

The fourth proportional to 86,256, 129,384.56 and 30,095.88 is: 45,144.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,256 : 129,384.56 = 30,095.88 : x
  2. Step 2: Convert to fraction form
    86,256/129,384.56 = 30,095.88/x
  3. Step 3: Cross multiply
    86,256x = 129,384.56 × 30,095.88
  4. Step 4: Simplify right side
    86,256x = 3,893,942,191.61
  5. Step 5: Solve for x
    x = 3,893,942,191.61/86,256
  6. Step 6: Final answer
    x = 45,144.02

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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.