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Finding the Fourth Proportional to 83,698.20, 125,547.30 and 82,823.40

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Solution

The fourth proportional to 83,698.20, 125,547.30 and 82,823.40 is: 124,235.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,698.20 : 125,547.30 = 82,823.40 : x
  2. Step 2: Convert to fraction form
    83,698.20/125,547.30 = 82,823.40/x
  3. Step 3: Cross multiply
    83,698.20x = 125,547.30 × 82,823.40
  4. Step 4: Simplify right side
    83,698.20x = 10,398,254,246.82
  5. Step 5: Solve for x
    x = 10,398,254,246.82/83,698.20
  6. Step 6: Final answer
    x = 124,235.10

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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.