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Finding the Fourth Proportional to 100,296.64, 138,411.04 and 54,978.96

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Solution

The fourth proportional to 100,296.64, 138,411.04 and 54,978.96 is: 75,871.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,296.64 : 138,411.04 = 54,978.96 : x
  2. Step 2: Convert to fraction form
    100,296.64/138,411.04 = 54,978.96/x
  3. Step 3: Cross multiply
    100,296.64x = 138,411.04 × 54,978.96
  4. Step 4: Simplify right side
    100,296.64x = 7,609,695,031.72
  5. Step 5: Solve for x
    x = 7,609,695,031.72/100,296.64
  6. Step 6: Final answer
    x = 75,871.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.