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Finding the Fourth Proportional to 147,077.60, 220,707.60 and 77,007.20

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Solution

The fourth proportional to 147,077.60, 220,707.60 and 77,007.20 is: 115,558.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,077.60 : 220,707.60 = 77,007.20 : x
  2. Step 2: Convert to fraction form
    147,077.60/220,707.60 = 77,007.20/x
  3. Step 3: Cross multiply
    147,077.60x = 220,707.60 × 77,007.20
  4. Step 4: Simplify right side
    147,077.60x = 16,996,074,294.72
  5. Step 5: Solve for x
    x = 16,996,074,294.72/147,077.60
  6. Step 6: Final answer
    x = 115,558.55

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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.