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Finding the Fourth Proportional to 145,872.78, 201,227.29 and 100,472.68

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Solution

The fourth proportional to 145,872.78, 201,227.29 and 100,472.68 is: 138,599.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,872.78 : 201,227.29 = 100,472.68 : x
  2. Step 2: Convert to fraction form
    145,872.78/201,227.29 = 100,472.68/x
  3. Step 3: Cross multiply
    145,872.78x = 201,227.29 × 100,472.68
  4. Step 4: Simplify right side
    145,872.78x = 20,217,845,115.44
  5. Step 5: Solve for x
    x = 20,217,845,115.44/145,872.78
  6. Step 6: Final answer
    x = 138,599.16

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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.