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Finding the Fourth Proportional to 258,830.64, 388,248.12 and 71,856.72

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Solution

The fourth proportional to 258,830.64, 388,248.12 and 71,856.72 is: 107,785.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,830.64 : 388,248.12 = 71,856.72 : x
  2. Step 2: Convert to fraction form
    258,830.64/388,248.12 = 71,856.72/x
  3. Step 3: Cross multiply
    258,830.64x = 388,248.12 × 71,856.72
  4. Step 4: Simplify right side
    258,830.64x = 27,898,236,449.37
  5. Step 5: Solve for x
    x = 27,898,236,449.37/258,830.64
  6. Step 6: Final answer
    x = 107,785.68

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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.