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Finding the Fourth Proportional to 85,103.50, 127,713.57 and 29,699.50

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Solution

The fourth proportional to 85,103.50, 127,713.57 and 29,699.50 is: 44,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,103.50 : 127,713.57 = 29,699.50 : x
  2. Step 2: Convert to fraction form
    85,103.50/127,713.57 = 29,699.50/x
  3. Step 3: Cross multiply
    85,103.50x = 127,713.57 × 29,699.50
  4. Step 4: Simplify right side
    85,103.50x = 3,793,029,172.22
  5. Step 5: Solve for x
    x = 3,793,029,172.22/85,103.50
  6. Step 6: Final answer
    x = 44,569.60

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1.5x scale

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.