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Finding the Fourth Proportional to 129,085.92, 178,129.80 and 72,496.08

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Solution

The fourth proportional to 129,085.92, 178,129.80 and 72,496.08 is: 100,039.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,085.92 : 178,129.80 = 72,496.08 : x
  2. Step 2: Convert to fraction form
    129,085.92/178,129.80 = 72,496.08/x
  3. Step 3: Cross multiply
    129,085.92x = 178,129.80 × 72,496.08
  4. Step 4: Simplify right side
    129,085.92x = 12,913,712,231.18
  5. Step 5: Solve for x
    x = 12,913,712,231.18/129,085.92
  6. Step 6: Final answer
    x = 100,039.67

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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.