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Finding the Fourth Proportional to 211,470, 291,801.96 and 115,951.56

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Solution

The fourth proportional to 211,470, 291,801.96 and 115,951.56 is: 159,998.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,470 : 291,801.96 = 115,951.56 : x
  2. Step 2: Convert to fraction form
    211,470/291,801.96 = 115,951.56/x
  3. Step 3: Cross multiply
    211,470x = 291,801.96 × 115,951.56
  4. Step 4: Simplify right side
    211,470x = 33,834,892,473.06
  5. Step 5: Solve for x
    x = 33,834,892,473.06/211,470
  6. Step 6: Final answer
    x = 159,998.55

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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.