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Finding the Fourth Proportional to 100,047.69, 137,898.65 and 82,997.29

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Solution

The fourth proportional to 100,047.69, 137,898.65 and 82,997.29 is: 114,397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,047.69 : 137,898.65 = 82,997.29 : x
  2. Step 2: Convert to fraction form
    100,047.69/137,898.65 = 82,997.29/x
  3. Step 3: Cross multiply
    100,047.69x = 137,898.65 × 82,997.29
  4. Step 4: Simplify right side
    100,047.69x = 11,445,214,624.53
  5. Step 5: Solve for x
    x = 11,445,214,624.53/100,047.69
  6. Step 6: Final answer
    x = 114,397.59

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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.