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Finding the Fourth Proportional to 68,143.10, 102,235.59 and 34,886.51

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Solution

The fourth proportional to 68,143.10, 102,235.59 and 34,886.51 is: 52,340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,143.10 : 102,235.59 = 34,886.51 : x
  2. Step 2: Convert to fraction form
    68,143.10/102,235.59 = 34,886.51/x
  3. Step 3: Cross multiply
    68,143.10x = 102,235.59 × 34,886.51
  4. Step 4: Simplify right side
    68,143.10x = 3,566,643,188.48
  5. Step 5: Solve for x
    x = 3,566,643,188.48/68,143.10
  6. Step 6: Final answer
    x = 52,340.49

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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.