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Finding the Fourth Proportional to 68,251.84, 102,312 and 34,987.52

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Solution

The fourth proportional to 68,251.84, 102,312 and 34,987.52 is: 52,447.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,251.84 : 102,312 = 34,987.52 : x
  2. Step 2: Convert to fraction form
    68,251.84/102,312 = 34,987.52/x
  3. Step 3: Cross multiply
    68,251.84x = 102,312 × 34,987.52
  4. Step 4: Simplify right side
    68,251.84x = 3,579,643,146.24
  5. Step 5: Solve for x
    x = 3,579,643,146.24/68,251.84
  6. Step 6: Final answer
    x = 52,447.57

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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.