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Finding the Fourth Proportional to 145,480.10, 217,936.47 and 82,108.54

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Solution

The fourth proportional to 145,480.10, 217,936.47 and 82,108.54 is: 123,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,480.10 : 217,936.47 = 82,108.54 : x
  2. Step 2: Convert to fraction form
    145,480.10/217,936.47 = 82,108.54/x
  3. Step 3: Cross multiply
    145,480.10x = 217,936.47 × 82,108.54
  4. Step 4: Simplify right side
    145,480.10x = 17,894,444,718.89
  5. Step 5: Solve for x
    x = 17,894,444,718.89/145,480.10
  6. Step 6: Final answer
    x = 123,002.70

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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.