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Finding the Fourth Proportional to 207,578.60, 311,324.70 and 57,780.20

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Solution

The fourth proportional to 207,578.60, 311,324.70 and 57,780.20 is: 86,658.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,578.60 : 311,324.70 = 57,780.20 : x
  2. Step 2: Convert to fraction form
    207,578.60/311,324.70 = 57,780.20/x
  3. Step 3: Cross multiply
    207,578.60x = 311,324.70 × 57,780.20
  4. Step 4: Simplify right side
    207,578.60x = 17,988,403,430.94
  5. Step 5: Solve for x
    x = 17,988,403,430.94/207,578.60
  6. Step 6: Final answer
    x = 86,658.28

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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.