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Finding the Fourth Proportional to 187,388.16, 280,886.40 and 82,118.40

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Solution

The fourth proportional to 187,388.16, 280,886.40 and 82,118.40 is: 123,091.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,388.16 : 280,886.40 = 82,118.40 : x
  2. Step 2: Convert to fraction form
    187,388.16/280,886.40 = 82,118.40/x
  3. Step 3: Cross multiply
    187,388.16x = 280,886.40 × 82,118.40
  4. Step 4: Simplify right side
    187,388.16x = 23,065,941,749.76
  5. Step 5: Solve for x
    x = 23,065,941,749.76/187,388.16
  6. Step 6: Final answer
    x = 123,091.78

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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.