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Finding the Fourth Proportional to 68,695.32, 103,078.13 and 32,712.51

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Solution

The fourth proportional to 68,695.32, 103,078.13 and 32,712.51 is: 49,085.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,695.32 : 103,078.13 = 32,712.51 : x
  2. Step 2: Convert to fraction form
    68,695.32/103,078.13 = 32,712.51/x
  3. Step 3: Cross multiply
    68,695.32x = 103,078.13 × 32,712.51
  4. Step 4: Simplify right side
    68,695.32x = 3,371,944,194.84
  5. Step 5: Solve for x
    x = 3,371,944,194.84/68,695.32
  6. Step 6: Final answer
    x = 49,085.50

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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.