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Finding the Fourth Proportional to 142,309.74, 196,382.10 and 81,889.71

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Solution

The fourth proportional to 142,309.74, 196,382.10 and 81,889.71 is: 113,004.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,309.74 : 196,382.10 = 81,889.71 : x
  2. Step 2: Convert to fraction form
    142,309.74/196,382.10 = 81,889.71/x
  3. Step 3: Cross multiply
    142,309.74x = 196,382.10 × 81,889.71
  4. Step 4: Simplify right side
    142,309.74x = 16,081,673,218.19
  5. Step 5: Solve for x
    x = 16,081,673,218.19/142,309.74
  6. Step 6: Final answer
    x = 113,004.73

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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.