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Finding the Fourth Proportional to 100,829.80, 151,244.70 and 85,083.40

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Solution

The fourth proportional to 100,829.80, 151,244.70 and 85,083.40 is: 127,625.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,829.80 : 151,244.70 = 85,083.40 : x
  2. Step 2: Convert to fraction form
    100,829.80/151,244.70 = 85,083.40/x
  3. Step 3: Cross multiply
    100,829.80x = 151,244.70 × 85,083.40
  4. Step 4: Simplify right side
    100,829.80x = 12,868,413,307.98
  5. Step 5: Solve for x
    x = 12,868,413,307.98/100,829.80
  6. Step 6: Final answer
    x = 127,625.10

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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.