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Finding the Fourth Proportional to 99,386.40, 149,036.40 and 29,251.20

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Solution

The fourth proportional to 99,386.40, 149,036.40 and 29,251.20 is: 43,864.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,386.40 : 149,036.40 = 29,251.20 : x
  2. Step 2: Convert to fraction form
    99,386.40/149,036.40 = 29,251.20/x
  3. Step 3: Cross multiply
    99,386.40x = 149,036.40 × 29,251.20
  4. Step 4: Simplify right side
    99,386.40x = 4,359,493,543.68
  5. Step 5: Solve for x
    x = 4,359,493,543.68/99,386.40
  6. Step 6: Final answer
    x = 43,864.09

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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.