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Finding the Fourth Proportional to 221,633.60, 332,565.60 and 96,987.20

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Solution

The fourth proportional to 221,633.60, 332,565.60 and 96,987.20 is: 145,531.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,633.60 : 332,565.60 = 96,987.20 : x
  2. Step 2: Convert to fraction form
    221,633.60/332,565.60 = 96,987.20/x
  3. Step 3: Cross multiply
    221,633.60x = 332,565.60 × 96,987.20
  4. Step 4: Simplify right side
    221,633.60x = 32,254,606,360.32
  5. Step 5: Solve for x
    x = 32,254,606,360.32/221,633.60
  6. Step 6: Final answer
    x = 145,531.21

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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.