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Finding the Fourth Proportional to 133,691.40, 200,474.46 and 77,547.60

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Solution

The fourth proportional to 133,691.40, 200,474.46 and 77,547.60 is: 116,285.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,691.40 : 200,474.46 = 77,547.60 : x
  2. Step 2: Convert to fraction form
    133,691.40/200,474.46 = 77,547.60/x
  3. Step 3: Cross multiply
    133,691.40x = 200,474.46 × 77,547.60
  4. Step 4: Simplify right side
    133,691.40x = 15,546,313,234.30
  5. Step 5: Solve for x
    x = 15,546,313,234.30/133,691.40
  6. Step 6: Final answer
    x = 116,285.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.