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Finding the Fourth Proportional to 129,415.64, 178,566.13 and 81,641.30

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Solution

The fourth proportional to 129,415.64, 178,566.13 and 81,641.30 is: 112,647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,415.64 : 178,566.13 = 81,641.30 : x
  2. Step 2: Convert to fraction form
    129,415.64/178,566.13 = 81,641.30/x
  3. Step 3: Cross multiply
    129,415.64x = 178,566.13 × 81,641.30
  4. Step 4: Simplify right side
    129,415.64x = 14,578,370,989.17
  5. Step 5: Solve for x
    x = 14,578,370,989.17/129,415.64
  6. Step 6: Final answer
    x = 112,647.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.