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Finding the Fourth Proportional to 140,382.63, 210,719.75 and 81,333.63

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Solution

The fourth proportional to 140,382.63, 210,719.75 and 81,333.63 is: 122,084.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,382.63 : 210,719.75 = 81,333.63 : x
  2. Step 2: Convert to fraction form
    140,382.63/210,719.75 = 81,333.63/x
  3. Step 3: Cross multiply
    140,382.63x = 210,719.75 × 81,333.63
  4. Step 4: Simplify right side
    140,382.63x = 17,138,601,773.52
  5. Step 5: Solve for x
    x = 17,138,601,773.52/140,382.63
  6. Step 6: Final answer
    x = 122,084.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.