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Finding the Fourth Proportional to 129,549.62, 178,861.02 and 105,733.10

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Solution

The fourth proportional to 129,549.62, 178,861.02 and 105,733.10 is: 145,979.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,549.62 : 178,861.02 = 105,733.10 : x
  2. Step 2: Convert to fraction form
    129,549.62/178,861.02 = 105,733.10/x
  3. Step 3: Cross multiply
    129,549.62x = 178,861.02 × 105,733.10
  4. Step 4: Simplify right side
    129,549.62x = 18,911,530,113.76
  5. Step 5: Solve for x
    x = 18,911,530,113.76/129,549.62
  6. Step 6: Final answer
    x = 145,979.05

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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.