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Finding the Fourth Proportional to 36,146.50, 49,859.13 and 31,077.70

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Solution

The fourth proportional to 36,146.50, 49,859.13 and 31,077.70 is: 42,867.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,146.50 : 49,859.13 = 31,077.70 : x
  2. Step 2: Convert to fraction form
    36,146.50/49,859.13 = 31,077.70/x
  3. Step 3: Cross multiply
    36,146.50x = 49,859.13 × 31,077.70
  4. Step 4: Simplify right side
    36,146.50x = 1,549,507,084.40
  5. Step 5: Solve for x
    x = 1,549,507,084.40/36,146.50
  6. Step 6: Final answer
    x = 42,867.42

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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.