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Finding the Fourth Proportional to 76,415.20, 114,622.80 and 72,332.80

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Solution

The fourth proportional to 76,415.20, 114,622.80 and 72,332.80 is: 108,499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,415.20 : 114,622.80 = 72,332.80 : x
  2. Step 2: Convert to fraction form
    76,415.20/114,622.80 = 72,332.80/x
  3. Step 3: Cross multiply
    76,415.20x = 114,622.80 × 72,332.80
  4. Step 4: Simplify right side
    76,415.20x = 8,290,988,067.84
  5. Step 5: Solve for x
    x = 8,290,988,067.84/76,415.20
  6. Step 6: Final answer
    x = 108,499.20

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1.5x scale

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.