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Finding the Fourth Proportional to 96,820.80, 144,842.40 and 83,817.60

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Solution

The fourth proportional to 96,820.80, 144,842.40 and 83,817.60 is: 125,389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,820.80 : 144,842.40 = 83,817.60 : x
  2. Step 2: Convert to fraction form
    96,820.80/144,842.40 = 83,817.60/x
  3. Step 3: Cross multiply
    96,820.80x = 144,842.40 × 83,817.60
  4. Step 4: Simplify right side
    96,820.80x = 12,140,342,346.24
  5. Step 5: Solve for x
    x = 12,140,342,346.24/96,820.80
  6. Step 6: Final answer
    x = 125,389.82

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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.