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Finding the Fourth Proportional to 99,758.65, 137,662.06 and 54,433.93

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Solution

The fourth proportional to 99,758.65, 137,662.06 and 54,433.93 is: 75,116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,758.65 : 137,662.06 = 54,433.93 : x
  2. Step 2: Convert to fraction form
    99,758.65/137,662.06 = 54,433.93/x
  3. Step 3: Cross multiply
    99,758.65x = 137,662.06 × 54,433.93
  4. Step 4: Simplify right side
    99,758.65x = 7,493,486,937.70
  5. Step 5: Solve for x
    x = 7,493,486,937.70/99,758.65
  6. Step 6: Final answer
    x = 75,116.16

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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.