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Finding the Fourth Proportional to 147,147.60, 220,812.60 and 77,077.20

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Solution

The fourth proportional to 147,147.60, 220,812.60 and 77,077.20 is: 115,663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,147.60 : 220,812.60 = 77,077.20 : x
  2. Step 2: Convert to fraction form
    147,147.60/220,812.60 = 77,077.20/x
  3. Step 3: Cross multiply
    147,147.60x = 220,812.60 × 77,077.20
  4. Step 4: Simplify right side
    147,147.60x = 17,019,616,932.72
  5. Step 5: Solve for x
    x = 17,019,616,932.72/147,147.60
  6. Step 6: Final answer
    x = 115,663.57

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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.