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Finding the Fourth Proportional to 110,427.52, 165,641.28 and 72,978.79

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Solution

The fourth proportional to 110,427.52, 165,641.28 and 72,978.79 is: 109,468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,427.52 : 165,641.28 = 72,978.79 : x
  2. Step 2: Convert to fraction form
    110,427.52/165,641.28 = 72,978.79/x
  3. Step 3: Cross multiply
    110,427.52x = 165,641.28 × 72,978.79
  4. Step 4: Simplify right side
    110,427.52x = 12,088,300,188.45
  5. Step 5: Solve for x
    x = 12,088,300,188.45/110,427.52
  6. Step 6: Final answer
    x = 109,468.19

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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.