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Finding the Fourth Proportional to 110,729, 166,159.92 and 40,615.40

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Solution

The fourth proportional to 110,729, 166,159.92 and 40,615.40 is: 60,947.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,729 : 166,159.92 = 40,615.40 : x
  2. Step 2: Convert to fraction form
    110,729/166,159.92 = 40,615.40/x
  3. Step 3: Cross multiply
    110,729x = 166,159.92 × 40,615.40
  4. Step 4: Simplify right side
    110,729x = 6,748,651,614.77
  5. Step 5: Solve for x
    x = 6,748,651,614.77/110,729
  6. Step 6: Final answer
    x = 60,947.46

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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.