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Finding the Fourth Proportional to 83,133.18, 114,723.68 and 45,407.42

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Solution

The fourth proportional to 83,133.18, 114,723.68 and 45,407.42 is: 62,662.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,133.18 : 114,723.68 = 45,407.42 : x
  2. Step 2: Convert to fraction form
    83,133.18/114,723.68 = 45,407.42/x
  3. Step 3: Cross multiply
    83,133.18x = 114,723.68 × 45,407.42
  4. Step 4: Simplify right side
    83,133.18x = 5,209,306,321.71
  5. Step 5: Solve for x
    x = 5,209,306,321.71/83,133.18
  6. Step 6: Final answer
    x = 62,662.18

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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.