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Finding the Fourth Proportional to 85,320.80, 127,981.20 and 78,063.20

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Solution

The fourth proportional to 85,320.80, 127,981.20 and 78,063.20 is: 117,094.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,320.80 : 127,981.20 = 78,063.20 : x
  2. Step 2: Convert to fraction form
    85,320.80/127,981.20 = 78,063.20/x
  3. Step 3: Cross multiply
    85,320.80x = 127,981.20 × 78,063.20
  4. Step 4: Simplify right side
    85,320.80x = 9,990,622,011.84
  5. Step 5: Solve for x
    x = 9,990,622,011.84/85,320.80
  6. Step 6: Final answer
    x = 117,094.80

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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.