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Finding the Fourth Proportional to 99,802.31, 137,493.23 and 69,532.88

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Solution

The fourth proportional to 99,802.31, 137,493.23 and 69,532.88 is: 95,792.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,802.31 : 137,493.23 = 69,532.88 : x
  2. Step 2: Convert to fraction form
    99,802.31/137,493.23 = 69,532.88/x
  3. Step 3: Cross multiply
    99,802.31x = 137,493.23 × 69,532.88
  4. Step 4: Simplify right side
    99,802.31x = 9,560,299,227.27
  5. Step 5: Solve for x
    x = 9,560,299,227.27/99,802.31
  6. Step 6: Final answer
    x = 95,792.37

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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.