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Finding the Fourth Proportional to 64,454.40, 96,642.72 and 28,909.24

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Solution

The fourth proportional to 64,454.40, 96,642.72 and 28,909.24 is: 43,346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,454.40 : 96,642.72 = 28,909.24 : x
  2. Step 2: Convert to fraction form
    64,454.40/96,642.72 = 28,909.24/x
  3. Step 3: Cross multiply
    64,454.40x = 96,642.72 × 28,909.24
  4. Step 4: Simplify right side
    64,454.40x = 2,793,867,586.73
  5. Step 5: Solve for x
    x = 2,793,867,586.73/64,454.40
  6. Step 6: Final answer
    x = 43,346.42

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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.