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Finding the Fourth Proportional to 110,782.42, 152,871.11 and 65,451.81

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Solution

The fourth proportional to 110,782.42, 152,871.11 and 65,451.81 is: 90,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,782.42 : 152,871.11 = 65,451.81 : x
  2. Step 2: Convert to fraction form
    110,782.42/152,871.11 = 65,451.81/x
  3. Step 3: Cross multiply
    110,782.42x = 152,871.11 × 65,451.81
  4. Step 4: Simplify right side
    110,782.42x = 10,005,690,252.49
  5. Step 5: Solve for x
    x = 10,005,690,252.49/110,782.42
  6. Step 6: Final answer
    x = 90,318.39

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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.