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Finding the Fourth Proportional to 98,857, 136,429.14 and 54,145

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Solution

The fourth proportional to 98,857, 136,429.14 and 54,145 is: 74,723.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,857 : 136,429.14 = 54,145 : x
  2. Step 2: Convert to fraction form
    98,857/136,429.14 = 54,145/x
  3. Step 3: Cross multiply
    98,857x = 136,429.14 × 54,145
  4. Step 4: Simplify right side
    98,857x = 7,386,955,785.30
  5. Step 5: Solve for x
    x = 7,386,955,785.30/98,857
  6. Step 6: Final answer
    x = 74,723.65

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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.