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Finding the Fourth Proportional to 99,458.94, 137,256.26 and 54,139.88

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Solution

The fourth proportional to 99,458.94, 137,256.26 and 54,139.88 is: 74,714.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,458.94 : 137,256.26 = 54,139.88 : x
  2. Step 2: Convert to fraction form
    99,458.94/137,256.26 = 54,139.88/x
  3. Step 3: Cross multiply
    99,458.94x = 137,256.26 × 54,139.88
  4. Step 4: Simplify right side
    99,458.94x = 7,431,036,488.67
  5. Step 5: Solve for x
    x = 7,431,036,488.67/99,458.94
  6. Step 6: Final answer
    x = 74,714.62

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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.