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Finding the Fourth Proportional to 51,978.78, 77,960.07 and 16,918.20

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Solution

The fourth proportional to 51,978.78, 77,960.07 and 16,918.20 is: 25,374.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,978.78 : 77,960.07 = 16,918.20 : x
  2. Step 2: Convert to fraction form
    51,978.78/77,960.07 = 16,918.20/x
  3. Step 3: Cross multiply
    51,978.78x = 77,960.07 × 16,918.20
  4. Step 4: Simplify right side
    51,978.78x = 1,318,944,056.27
  5. Step 5: Solve for x
    x = 1,318,944,056.27/51,978.78
  6. Step 6: Final answer
    x = 25,374.66

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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.