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Finding the Fourth Proportional to 82,043.40, 123,065.10 and 76,859.40

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Solution

The fourth proportional to 82,043.40, 123,065.10 and 76,859.40 is: 115,289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,043.40 : 123,065.10 = 76,859.40 : x
  2. Step 2: Convert to fraction form
    82,043.40/123,065.10 = 76,859.40/x
  3. Step 3: Cross multiply
    82,043.40x = 123,065.10 × 76,859.40
  4. Step 4: Simplify right side
    82,043.40x = 9,458,709,746.94
  5. Step 5: Solve for x
    x = 9,458,709,746.94/82,043.40
  6. Step 6: Final answer
    x = 115,289.10

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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.