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Finding the Fourth Proportional to 68,335.65, 102,473.24 and 30,894.21

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Solution

The fourth proportional to 68,335.65, 102,473.24 and 30,894.21 is: 46,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,335.65 : 102,473.24 = 30,894.21 : x
  2. Step 2: Convert to fraction form
    68,335.65/102,473.24 = 30,894.21/x
  3. Step 3: Cross multiply
    68,335.65x = 102,473.24 × 30,894.21
  4. Step 4: Simplify right side
    68,335.65x = 3,165,829,641.47
  5. Step 5: Solve for x
    x = 3,165,829,641.47/68,335.65
  6. Step 6: Final answer
    x = 46,327.64

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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.