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Finding the Fourth Proportional to 83,133.45, 114,723.42 and 45,406.89

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Solution

The fourth proportional to 83,133.45, 114,723.42 and 45,406.89 is: 62,661.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,133.45 : 114,723.42 = 45,406.89 : x
  2. Step 2: Convert to fraction form
    83,133.45/114,723.42 = 45,406.89/x
  3. Step 3: Cross multiply
    83,133.45x = 114,723.42 × 45,406.89
  4. Step 4: Simplify right side
    83,133.45x = 5,209,233,712.36
  5. Step 5: Solve for x
    x = 5,209,233,712.36/83,133.45
  6. Step 6: Final answer
    x = 62,661.10

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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.