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Finding the Fourth Proportional to 140,323.42, 210,338.11 and 65,381.76

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Solution

The fourth proportional to 140,323.42, 210,338.11 and 65,381.76 is: 98,004.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,323.42 : 210,338.11 = 65,381.76 : x
  2. Step 2: Convert to fraction form
    140,323.42/210,338.11 = 65,381.76/x
  3. Step 3: Cross multiply
    140,323.42x = 210,338.11 × 65,381.76
  4. Step 4: Simplify right side
    140,323.42x = 13,752,275,826.87
  5. Step 5: Solve for x
    x = 13,752,275,826.87/140,323.42
  6. Step 6: Final answer
    x = 98,004.14

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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.