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Finding the Fourth Proportional to 100,981.60, 151,501.92 and 29,906.08

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Solution

The fourth proportional to 100,981.60, 151,501.92 and 29,906.08 is: 44,867.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,981.60 : 151,501.92 = 29,906.08 : x
  2. Step 2: Convert to fraction form
    100,981.60/151,501.92 = 29,906.08/x
  3. Step 3: Cross multiply
    100,981.60x = 151,501.92 × 29,906.08
  4. Step 4: Simplify right side
    100,981.60x = 4,530,828,539.67
  5. Step 5: Solve for x
    x = 4,530,828,539.67/100,981.60
  6. Step 6: Final answer
    x = 44,867.86

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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.