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Finding the Fourth Proportional to 187,416.16, 280,928.40 and 82,146.40

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Solution

The fourth proportional to 187,416.16, 280,928.40 and 82,146.40 is: 123,133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,416.16 : 280,928.40 = 82,146.40 : x
  2. Step 2: Convert to fraction form
    187,416.16/280,928.40 = 82,146.40/x
  3. Step 3: Cross multiply
    187,416.16x = 280,928.40 × 82,146.40
  4. Step 4: Simplify right side
    187,416.16x = 23,077,256,717.76
  5. Step 5: Solve for x
    x = 23,077,256,717.76/187,416.16
  6. Step 6: Final answer
    x = 123,133.76

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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.