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Finding the Fourth Proportional to 80,742, 121,117.32 and 25,342.32

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Solution

The fourth proportional to 80,742, 121,117.32 and 25,342.32 is: 38,014.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,742 : 121,117.32 = 25,342.32 : x
  2. Step 2: Convert to fraction form
    80,742/121,117.32 = 25,342.32/x
  3. Step 3: Cross multiply
    80,742x = 121,117.32 × 25,342.32
  4. Step 4: Simplify right side
    80,742x = 3,069,393,880.98
  5. Step 5: Solve for x
    x = 3,069,393,880.98/80,742
  6. Step 6: Final answer
    x = 38,014.84

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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.