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Finding the Fourth Proportional to 86,008.32, 129,062.32 and 36,084

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Solution

The fourth proportional to 86,008.32, 129,062.32 and 36,084 is: 54,146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,008.32 : 129,062.32 = 36,084 : x
  2. Step 2: Convert to fraction form
    86,008.32/129,062.32 = 36,084/x
  3. Step 3: Cross multiply
    86,008.32x = 129,062.32 × 36,084
  4. Step 4: Simplify right side
    86,008.32x = 4,657,084,754.88
  5. Step 5: Solve for x
    x = 4,657,084,754.88/86,008.32
  6. Step 6: Final answer
    x = 54,146.91

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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.