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Finding the Fourth Proportional to 96,780.80, 144,782.40 and 87,449.60

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Solution

The fourth proportional to 96,780.80, 144,782.40 and 87,449.60 is: 130,823.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,780.80 : 144,782.40 = 87,449.60 : x
  2. Step 2: Convert to fraction form
    96,780.80/144,782.40 = 87,449.60/x
  3. Step 3: Cross multiply
    96,780.80x = 144,782.40 × 87,449.60
  4. Step 4: Simplify right side
    96,780.80x = 12,661,162,967.04
  5. Step 5: Solve for x
    x = 12,661,162,967.04/96,780.80
  6. Step 6: Final answer
    x = 130,823.09

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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.