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Finding the Fourth Proportional to 96,585.60, 144,878.40 and 81,859.80

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Solution

The fourth proportional to 96,585.60, 144,878.40 and 81,859.80 is: 122,789.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,585.60 : 144,878.40 = 81,859.80 : x
  2. Step 2: Convert to fraction form
    96,585.60/144,878.40 = 81,859.80/x
  3. Step 3: Cross multiply
    96,585.60x = 144,878.40 × 81,859.80
  4. Step 4: Simplify right side
    96,585.60x = 11,859,716,848.32
  5. Step 5: Solve for x
    x = 11,859,716,848.32/96,585.60
  6. Step 6: Final answer
    x = 122,789.70

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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.