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Finding the Fourth Proportional to 109,805.60, 164,708.40 and 72,407.90

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Solution

The fourth proportional to 109,805.60, 164,708.40 and 72,407.90 is: 108,611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,805.60 : 164,708.40 = 72,407.90 : x
  2. Step 2: Convert to fraction form
    109,805.60/164,708.40 = 72,407.90/x
  3. Step 3: Cross multiply
    109,805.60x = 164,708.40 × 72,407.90
  4. Step 4: Simplify right side
    109,805.60x = 11,926,189,356.36
  5. Step 5: Solve for x
    x = 11,926,189,356.36/109,805.60
  6. Step 6: Final answer
    x = 108,611.85

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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.