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Finding the Fourth Proportional to 218,970.56, 328,456.14 and 52,758.56

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Solution

The fourth proportional to 218,970.56, 328,456.14 and 52,758.56 is: 79,137.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,970.56 : 328,456.14 = 52,758.56 : x
  2. Step 2: Convert to fraction form
    218,970.56/328,456.14 = 52,758.56/x
  3. Step 3: Cross multiply
    218,970.56x = 328,456.14 × 52,758.56
  4. Step 4: Simplify right side
    218,970.56x = 17,328,872,969.56
  5. Step 5: Solve for x
    x = 17,328,872,969.56/218,970.56
  6. Step 6: Final answer
    x = 79,137.91

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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.