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Finding the Fourth Proportional to 152,633.78, 210,656.13 and 84,665.87

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Solution

The fourth proportional to 152,633.78, 210,656.13 and 84,665.87 is: 116,850.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,633.78 : 210,656.13 = 84,665.87 : x
  2. Step 2: Convert to fraction form
    152,633.78/210,656.13 = 84,665.87/x
  3. Step 3: Cross multiply
    152,633.78x = 210,656.13 × 84,665.87
  4. Step 4: Simplify right side
    152,633.78x = 17,835,384,517.28
  5. Step 5: Solve for x
    x = 17,835,384,517.28/152,633.78
  6. Step 6: Final answer
    x = 116,850.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.