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Finding the Fourth Proportional to 82,117.60, 123,030.60 and 76,868.80

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Solution

The fourth proportional to 82,117.60, 123,030.60 and 76,868.80 is: 115,166.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,117.60 : 123,030.60 = 76,868.80 : x
  2. Step 2: Convert to fraction form
    82,117.60/123,030.60 = 76,868.80/x
  3. Step 3: Cross multiply
    82,117.60x = 123,030.60 × 76,868.80
  4. Step 4: Simplify right side
    82,117.60x = 9,457,214,585.28
  5. Step 5: Solve for x
    x = 9,457,214,585.28/82,117.60
  6. Step 6: Final answer
    x = 115,166.72

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1.5x scale

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.