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Finding the Fourth Proportional to 80,937.36, 121,347.72 and 49,707

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Solution

The fourth proportional to 80,937.36, 121,347.72 and 49,707 is: 74,524.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,937.36 : 121,347.72 = 49,707 : x
  2. Step 2: Convert to fraction form
    80,937.36/121,347.72 = 49,707/x
  3. Step 3: Cross multiply
    80,937.36x = 121,347.72 × 49,707
  4. Step 4: Simplify right side
    80,937.36x = 6,031,831,118.04
  5. Step 5: Solve for x
    x = 6,031,831,118.04/80,937.36
  6. Step 6: Final answer
    x = 74,524.68

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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.