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Finding the Fourth Proportional to 68,359.20, 102,538.80 and 45,031.20

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Solution

The fourth proportional to 68,359.20, 102,538.80 and 45,031.20 is: 67,546.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,359.20 : 102,538.80 = 45,031.20 : x
  2. Step 2: Convert to fraction form
    68,359.20/102,538.80 = 45,031.20/x
  3. Step 3: Cross multiply
    68,359.20x = 102,538.80 × 45,031.20
  4. Step 4: Simplify right side
    68,359.20x = 4,617,445,210.56
  5. Step 5: Solve for x
    x = 4,617,445,210.56/68,359.20
  6. Step 6: Final answer
    x = 67,546.80

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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.