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Finding the Fourth Proportional to 258,282.14, 387,422.64 and 68,742.54

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Solution

The fourth proportional to 258,282.14, 387,422.64 and 68,742.54 is: 103,113.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,282.14 : 387,422.64 = 68,742.54 : x
  2. Step 2: Convert to fraction form
    258,282.14/387,422.64 = 68,742.54/x
  3. Step 3: Cross multiply
    258,282.14x = 387,422.64 × 68,742.54
  4. Step 4: Simplify right side
    258,282.14x = 26,632,416,327.11
  5. Step 5: Solve for x
    x = 26,632,416,327.11/258,282.14
  6. Step 6: Final answer
    x = 103,113.66

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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.