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Finding the Fourth Proportional to 102,704.88, 141,706.84 and 60,255.20

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Solution

The fourth proportional to 102,704.88, 141,706.84 and 60,255.20 is: 83,136.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,704.88 : 141,706.84 = 60,255.20 : x
  2. Step 2: Convert to fraction form
    102,704.88/141,706.84 = 60,255.20/x
  3. Step 3: Cross multiply
    102,704.88x = 141,706.84 × 60,255.20
  4. Step 4: Simplify right side
    102,704.88x = 8,538,573,985.57
  5. Step 5: Solve for x
    x = 8,538,573,985.57/102,704.88
  6. Step 6: Final answer
    x = 83,136.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.