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Finding the Fourth Proportional to 83,820.68, 125,813.64 and 61,571.60

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Solution

The fourth proportional to 83,820.68, 125,813.64 and 61,571.60 is: 92,418.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,820.68 : 125,813.64 = 61,571.60 : x
  2. Step 2: Convert to fraction form
    83,820.68/125,813.64 = 61,571.60/x
  3. Step 3: Cross multiply
    83,820.68x = 125,813.64 × 61,571.60
  4. Step 4: Simplify right side
    83,820.68x = 7,746,547,116.62
  5. Step 5: Solve for x
    x = 7,746,547,116.62/83,820.68
  6. Step 6: Final answer
    x = 92,418.09

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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.