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Finding the Fourth Proportional to 149,681.76, 224,621.80 and 82,260.88

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Solution

The fourth proportional to 149,681.76, 224,621.80 and 82,260.88 is: 123,445.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,681.76 : 224,621.80 = 82,260.88 : x
  2. Step 2: Convert to fraction form
    149,681.76/224,621.80 = 82,260.88/x
  3. Step 3: Cross multiply
    149,681.76x = 224,621.80 × 82,260.88
  4. Step 4: Simplify right side
    149,681.76x = 18,477,586,328.16
  5. Step 5: Solve for x
    x = 18,477,586,328.16/149,681.76
  6. Step 6: Final answer
    x = 123,445.81

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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.