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Finding the Fourth Proportional to 83,211.52, 114,827.84 and 45,485.76

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Solution

The fourth proportional to 83,211.52, 114,827.84 and 45,485.76 is: 62,768.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,211.52 : 114,827.84 = 45,485.76 : x
  2. Step 2: Convert to fraction form
    83,211.52/114,827.84 = 45,485.76/x
  3. Step 3: Cross multiply
    83,211.52x = 114,827.84 × 45,485.76
  4. Step 4: Simplify right side
    83,211.52x = 5,223,031,571.56
  5. Step 5: Solve for x
    x = 5,223,031,571.56/83,211.52
  6. Step 6: Final answer
    x = 62,768.13

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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.