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Finding the Fourth Proportional to 85,299, 127,943.12 and 33,312.83

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Solution

The fourth proportional to 85,299, 127,943.12 and 33,312.83 is: 49,967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,299 : 127,943.12 = 33,312.83 : x
  2. Step 2: Convert to fraction form
    85,299/127,943.12 = 33,312.83/x
  3. Step 3: Cross multiply
    85,299x = 127,943.12 × 33,312.83
  4. Step 4: Simplify right side
    85,299x = 4,262,146,599.95
  5. Step 5: Solve for x
    x = 4,262,146,599.95/85,299
  6. Step 6: Final answer
    x = 49,967.13

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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.