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Finding the Fourth Proportional to 129,396.46, 178,566.75 and 72,807.84

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Solution

The fourth proportional to 129,396.46, 178,566.75 and 72,807.84 is: 100,474.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,396.46 : 178,566.75 = 72,807.84 : x
  2. Step 2: Convert to fraction form
    129,396.46/178,566.75 = 72,807.84/x
  3. Step 3: Cross multiply
    129,396.46x = 178,566.75 × 72,807.84
  4. Step 4: Simplify right side
    129,396.46x = 13,001,059,363.32
  5. Step 5: Solve for x
    x = 13,001,059,363.32/129,396.46
  6. Step 6: Final answer
    x = 100,474.61

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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.