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Finding the Fourth Proportional to 210,691.83, 290,752.71 and 115,197.51

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Solution

The fourth proportional to 210,691.83, 290,752.71 and 115,197.51 is: 158,971.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,691.83 : 290,752.71 = 115,197.51 : x
  2. Step 2: Convert to fraction form
    210,691.83/290,752.71 = 115,197.51/x
  3. Step 3: Cross multiply
    210,691.83x = 290,752.71 × 115,197.51
  4. Step 4: Simplify right side
    210,691.83x = 33,493,988,217.75
  5. Step 5: Solve for x
    x = 33,493,988,217.75/210,691.83
  6. Step 6: Final answer
    x = 158,971.46

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1.5x scale

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.