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Finding the Fourth Proportional to 147,129.50, 220,541.16 and 68,178.80

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Solution

The fourth proportional to 147,129.50, 220,541.16 and 68,178.80 is: 102,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,129.50 : 220,541.16 = 68,178.80 : x
  2. Step 2: Convert to fraction form
    147,129.50/220,541.16 = 68,178.80/x
  3. Step 3: Cross multiply
    147,129.50x = 220,541.16 × 68,178.80
  4. Step 4: Simplify right side
    147,129.50x = 15,036,232,446.43
  5. Step 5: Solve for x
    x = 15,036,232,446.43/147,129.50
  6. Step 6: Final answer
    x = 102,197.26

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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.