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Finding the Fourth Proportional to 83,785.08, 125,483.40 and 83,163

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Solution

The fourth proportional to 83,785.08, 125,483.40 and 83,163 is: 124,551.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,785.08 : 125,483.40 = 83,163 : x
  2. Step 2: Convert to fraction form
    83,785.08/125,483.40 = 83,163/x
  3. Step 3: Cross multiply
    83,785.08x = 125,483.40 × 83,163
  4. Step 4: Simplify right side
    83,785.08x = 10,435,575,994.20
  5. Step 5: Solve for x
    x = 10,435,575,994.20/83,785.08
  6. Step 6: Final answer
    x = 124,551.72

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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.