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Finding the Fourth Proportional to 83,000.50, 114,541.06 and 45,275.56

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Solution

The fourth proportional to 83,000.50, 114,541.06 and 45,275.56 is: 62,480.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,000.50 : 114,541.06 = 45,275.56 : x
  2. Step 2: Convert to fraction form
    83,000.50/114,541.06 = 45,275.56/x
  3. Step 3: Cross multiply
    83,000.50x = 114,541.06 × 45,275.56
  4. Step 4: Simplify right side
    83,000.50x = 5,185,910,408.12
  5. Step 5: Solve for x
    x = 5,185,910,408.12/83,000.50
  6. Step 6: Final answer
    x = 62,480.47

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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.