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Finding the Fourth Proportional to 107,163.80, 147,962.60 and 71,437.92

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Solution

The fourth proportional to 107,163.80, 147,962.60 and 71,437.92 is: 98,635.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,163.80 : 147,962.60 = 71,437.92 : x
  2. Step 2: Convert to fraction form
    107,163.80/147,962.60 = 71,437.92/x
  3. Step 3: Cross multiply
    107,163.80x = 147,962.60 × 71,437.92
  4. Step 4: Simplify right side
    107,163.80x = 10,570,140,381.79
  5. Step 5: Solve for x
    x = 10,570,140,381.79/107,163.80
  6. Step 6: Final answer
    x = 98,635.36

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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.