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Finding the Fourth Proportional to 83,079.12, 114,647.40 and 45,354

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Solution

The fourth proportional to 83,079.12, 114,647.40 and 45,354 is: 62,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,079.12 : 114,647.40 = 45,354 : x
  2. Step 2: Convert to fraction form
    83,079.12/114,647.40 = 45,354/x
  3. Step 3: Cross multiply
    83,079.12x = 114,647.40 × 45,354
  4. Step 4: Simplify right side
    83,079.12x = 5,199,718,179.60
  5. Step 5: Solve for x
    x = 5,199,718,179.60/83,079.12
  6. Step 6: Final answer
    x = 62,587.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.