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Finding the Fourth Proportional to 83,471.64, 115,190.06 and 45,230.34

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Solution

The fourth proportional to 83,471.64, 115,190.06 and 45,230.34 is: 62,417.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,471.64 : 115,190.06 = 45,230.34 : x
  2. Step 2: Convert to fraction form
    83,471.64/115,190.06 = 45,230.34/x
  3. Step 3: Cross multiply
    83,471.64x = 115,190.06 × 45,230.34
  4. Step 4: Simplify right side
    83,471.64x = 5,210,085,578.42
  5. Step 5: Solve for x
    x = 5,210,085,578.42/83,471.64
  6. Step 6: Final answer
    x = 62,417.43

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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.