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Finding the Fourth Proportional to 99,569.38, 137,405.67 and 54,857.38

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Solution

The fourth proportional to 99,569.38, 137,405.67 and 54,857.38 is: 75,703.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,569.38 : 137,405.67 = 54,857.38 : x
  2. Step 2: Convert to fraction form
    99,569.38/137,405.67 = 54,857.38/x
  3. Step 3: Cross multiply
    99,569.38x = 137,405.67 × 54,857.38
  4. Step 4: Simplify right side
    99,569.38x = 7,537,715,053.34
  5. Step 5: Solve for x
    x = 7,537,715,053.34/99,569.38
  6. Step 6: Final answer
    x = 75,703.14

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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.