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Finding the Fourth Proportional to 83,146.38, 114,741.81 and 45,420.90

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Solution

The fourth proportional to 83,146.38, 114,741.81 and 45,420.90 is: 62,680.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,146.38 : 114,741.81 = 45,420.90 : x
  2. Step 2: Convert to fraction form
    83,146.38/114,741.81 = 45,420.90/x
  3. Step 3: Cross multiply
    83,146.38x = 114,741.81 × 45,420.90
  4. Step 4: Simplify right side
    83,146.38x = 5,211,676,277.83
  5. Step 5: Solve for x
    x = 5,211,676,277.83/83,146.38
  6. Step 6: Final answer
    x = 62,680.74

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1.5x scale

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.