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Finding the Fourth Proportional to 72,910.80, 109,366.20 and 31,357.80

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Solution

The fourth proportional to 72,910.80, 109,366.20 and 31,357.80 is: 47,036.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,910.80 : 109,366.20 = 31,357.80 : x
  2. Step 2: Convert to fraction form
    72,910.80/109,366.20 = 31,357.80/x
  3. Step 3: Cross multiply
    72,910.80x = 109,366.20 × 31,357.80
  4. Step 4: Simplify right side
    72,910.80x = 3,429,483,426.36
  5. Step 5: Solve for x
    x = 3,429,483,426.36/72,910.80
  6. Step 6: Final answer
    x = 47,036.70

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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.