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Finding the Fourth Proportional to 210,854.97, 290,984.06 and 115,363.71

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Solution

The fourth proportional to 210,854.97, 290,984.06 and 115,363.71 is: 159,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,854.97 : 290,984.06 = 115,363.71 : x
  2. Step 2: Convert to fraction form
    210,854.97/290,984.06 = 115,363.71/x
  3. Step 3: Cross multiply
    210,854.97x = 290,984.06 × 115,363.71
  4. Step 4: Simplify right side
    210,854.97x = 33,569,001,659.45
  5. Step 5: Solve for x
    x = 33,569,001,659.45/210,854.97
  6. Step 6: Final answer
    x = 159,204.22

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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.