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Finding the Fourth Proportional to 107,916.80, 161,729.40 and 72,276.80

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Solution

The fourth proportional to 107,916.80, 161,729.40 and 72,276.80 is: 108,317.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,916.80 : 161,729.40 = 72,276.80 : x
  2. Step 2: Convert to fraction form
    107,916.80/161,729.40 = 72,276.80/x
  3. Step 3: Cross multiply
    107,916.80x = 161,729.40 × 72,276.80
  4. Step 4: Simplify right side
    107,916.80x = 11,689,283,497.92
  5. Step 5: Solve for x
    x = 11,689,283,497.92/107,916.80
  6. Step 6: Final answer
    x = 108,317.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.