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Finding the Fourth Proportional to 230,972.71, 318,735.82 and 128,995.17

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Solution

The fourth proportional to 230,972.71, 318,735.82 and 128,995.17 is: 178,009.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,972.71 : 318,735.82 = 128,995.17 : x
  2. Step 2: Convert to fraction form
    230,972.71/318,735.82 = 128,995.17/x
  3. Step 3: Cross multiply
    230,972.71x = 318,735.82 × 128,995.17
  4. Step 4: Simplify right side
    230,972.71x = 41,115,382,578.51
  5. Step 5: Solve for x
    x = 41,115,382,578.51/230,972.71
  6. Step 6: Final answer
    x = 178,009.70

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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.