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Finding the Fourth Proportional to 99,763.83, 137,484.14 and 71,420.31

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Solution

The fourth proportional to 99,763.83, 137,484.14 and 71,420.31 is: 98,424.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,763.83 : 137,484.14 = 71,420.31 : x
  2. Step 2: Convert to fraction form
    99,763.83/137,484.14 = 71,420.31/x
  3. Step 3: Cross multiply
    99,763.83x = 137,484.14 × 71,420.31
  4. Step 4: Simplify right side
    99,763.83x = 9,819,159,541.78
  5. Step 5: Solve for x
    x = 9,819,159,541.78/99,763.83
  6. Step 6: Final answer
    x = 98,424.04

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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.