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Finding the Fourth Proportional to 129,384.76, 178,549.14 and 72,796

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Solution

The fourth proportional to 129,384.76, 178,549.14 and 72,796 is: 100,457.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,384.76 : 178,549.14 = 72,796 : x
  2. Step 2: Convert to fraction form
    129,384.76/178,549.14 = 72,796/x
  3. Step 3: Cross multiply
    129,384.76x = 178,549.14 × 72,796
  4. Step 4: Simplify right side
    129,384.76x = 12,997,663,195.44
  5. Step 5: Solve for x
    x = 12,997,663,195.44/129,384.76
  6. Step 6: Final answer
    x = 100,457.45

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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.