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Finding the Fourth Proportional to 83,471.90, 115,190.42 and 45,230.58

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Solution

The fourth proportional to 83,471.90, 115,190.42 and 45,230.58 is: 62,417.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,471.90 : 115,190.42 = 45,230.58 : x
  2. Step 2: Convert to fraction form
    83,471.90/115,190.42 = 45,230.58/x
  3. Step 3: Cross multiply
    83,471.90x = 115,190.42 × 45,230.58
  4. Step 4: Simplify right side
    83,471.90x = 5,210,129,280.89
  5. Step 5: Solve for x
    x = 5,210,129,280.89/83,471.90
  6. Step 6: Final answer
    x = 62,417.77

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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.