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Finding the Fourth Proportional to 77,478.80, 116,218.20 and 57,795.80

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Solution

The fourth proportional to 77,478.80, 116,218.20 and 57,795.80 is: 86,693.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,478.80 : 116,218.20 = 57,795.80 : x
  2. Step 2: Convert to fraction form
    77,478.80/116,218.20 = 57,795.80/x
  3. Step 3: Cross multiply
    77,478.80x = 116,218.20 × 57,795.80
  4. Step 4: Simplify right side
    77,478.80x = 6,716,923,843.56
  5. Step 5: Solve for x
    x = 6,716,923,843.56/77,478.80
  6. Step 6: Final answer
    x = 86,693.70

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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.