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Finding the Fourth Proportional to 147,223.20, 220,251.60 and 127,718.40

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Solution

The fourth proportional to 147,223.20, 220,251.60 and 127,718.40 is: 191,071.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,223.20 : 220,251.60 = 127,718.40 : x
  2. Step 2: Convert to fraction form
    147,223.20/220,251.60 = 127,718.40/x
  3. Step 3: Cross multiply
    147,223.20x = 220,251.60 × 127,718.40
  4. Step 4: Simplify right side
    147,223.20x = 28,130,181,949.44
  5. Step 5: Solve for x
    x = 28,130,181,949.44/147,223.20
  6. Step 6: Final answer
    x = 191,071.66

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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.