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Finding the Fourth Proportional to 201,909, 278,640.18 and 112,490.76

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Solution

The fourth proportional to 201,909, 278,640.18 and 112,490.76 is: 155,240.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,909 : 278,640.18 = 112,490.76 : x
  2. Step 2: Convert to fraction form
    201,909/278,640.18 = 112,490.76/x
  3. Step 3: Cross multiply
    201,909x = 278,640.18 × 112,490.76
  4. Step 4: Simplify right side
    201,909x = 31,344,445,614.74
  5. Step 5: Solve for x
    x = 31,344,445,614.74/201,909
  6. Step 6: Final answer
    x = 155,240.46

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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.