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Finding the Fourth Proportional to 99,792, 137,713.14 and 55,080

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Solution

The fourth proportional to 99,792, 137,713.14 and 55,080 is: 76,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,792 : 137,713.14 = 55,080 : x
  2. Step 2: Convert to fraction form
    99,792/137,713.14 = 55,080/x
  3. Step 3: Cross multiply
    99,792x = 137,713.14 × 55,080
  4. Step 4: Simplify right side
    99,792x = 7,585,239,751.20
  5. Step 5: Solve for x
    x = 7,585,239,751.20/99,792
  6. Step 6: Final answer
    x = 76,010.50

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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.