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Finding the Fourth Proportional to 147,105.60, 220,749.60 and 77,035.20

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Solution

The fourth proportional to 147,105.60, 220,749.60 and 77,035.20 is: 115,600.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,105.60 : 220,749.60 = 77,035.20 : x
  2. Step 2: Convert to fraction form
    147,105.60/220,749.60 = 77,035.20/x
  3. Step 3: Cross multiply
    147,105.60x = 220,749.60 × 77,035.20
  4. Step 4: Simplify right side
    147,105.60x = 17,005,489,585.92
  5. Step 5: Solve for x
    x = 17,005,489,585.92/147,105.60
  6. Step 6: Final answer
    x = 115,600.56

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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.