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Finding the Fourth Proportional to 218,800.94, 328,259.75 and 78,560.78

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Solution

The fourth proportional to 218,800.94, 328,259.75 and 78,560.78 is: 117,862.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,800.94 : 328,259.75 = 78,560.78 : x
  2. Step 2: Convert to fraction form
    218,800.94/328,259.75 = 78,560.78/x
  3. Step 3: Cross multiply
    218,800.94x = 328,259.75 × 78,560.78
  4. Step 4: Simplify right side
    218,800.94x = 25,788,339,968.50
  5. Step 5: Solve for x
    x = 25,788,339,968.50/218,800.94
  6. Step 6: Final answer
    x = 117,862.11

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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.