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Finding the Fourth Proportional to 147,423.72, 220,960.56 and 84,965.16

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Solution

The fourth proportional to 147,423.72, 220,960.56 and 84,965.16 is: 127,346.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,423.72 : 220,960.56 = 84,965.16 : x
  2. Step 2: Convert to fraction form
    147,423.72/220,960.56 = 84,965.16/x
  3. Step 3: Cross multiply
    147,423.72x = 220,960.56 × 84,965.16
  4. Step 4: Simplify right side
    147,423.72x = 18,773,949,334.09
  5. Step 5: Solve for x
    x = 18,773,949,334.09/147,423.72
  6. Step 6: Final answer
    x = 127,346.87

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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.