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Finding the Fourth Proportional to 218,963.61, 328,299.57 and 78,704.01

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Solution

The fourth proportional to 218,963.61, 328,299.57 and 78,704.01 is: 118,003.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,963.61 : 328,299.57 = 78,704.01 : x
  2. Step 2: Convert to fraction form
    218,963.61/328,299.57 = 78,704.01/x
  3. Step 3: Cross multiply
    218,963.61x = 328,299.57 × 78,704.01
  4. Step 4: Simplify right side
    218,963.61x = 25,838,492,640.28
  5. Step 5: Solve for x
    x = 25,838,492,640.28/218,963.61
  6. Step 6: Final answer
    x = 118,003.59

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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.