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Finding the Fourth Proportional to 99,802.94, 137,695.34 and 71,127.11

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Solution

The fourth proportional to 99,802.94, 137,695.34 and 71,127.11 is: 98,132.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,802.94 : 137,695.34 = 71,127.11 : x
  2. Step 2: Convert to fraction form
    99,802.94/137,695.34 = 71,127.11/x
  3. Step 3: Cross multiply
    99,802.94x = 137,695.34 × 71,127.11
  4. Step 4: Simplify right side
    99,802.94x = 9,793,872,116.72
  5. Step 5: Solve for x
    x = 9,793,872,116.72/99,802.94
  6. Step 6: Final answer
    x = 98,132.11

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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.