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Finding the Fourth Proportional to 129,383.76, 178,547.76 and 72,795

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Solution

The fourth proportional to 129,383.76, 178,547.76 and 72,795 is: 100,456.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,383.76 : 178,547.76 = 72,795 : x
  2. Step 2: Convert to fraction form
    129,383.76/178,547.76 = 72,795/x
  3. Step 3: Cross multiply
    129,383.76x = 178,547.76 × 72,795
  4. Step 4: Simplify right side
    129,383.76x = 12,997,384,189.20
  5. Step 5: Solve for x
    x = 12,997,384,189.20/129,383.76
  6. Step 6: Final answer
    x = 100,456.07

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1.5x scale

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.