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Finding the Fourth Proportional to 121,797.20, 182,695.80 and 77,619.80

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Solution

The fourth proportional to 121,797.20, 182,695.80 and 77,619.80 is: 116,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,797.20 : 182,695.80 = 77,619.80 : x
  2. Step 2: Convert to fraction form
    121,797.20/182,695.80 = 77,619.80/x
  3. Step 3: Cross multiply
    121,797.20x = 182,695.80 × 77,619.80
  4. Step 4: Simplify right side
    121,797.20x = 14,180,811,456.84
  5. Step 5: Solve for x
    x = 14,180,811,456.84/121,797.20
  6. Step 6: Final answer
    x = 116,429.70

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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.