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Finding the Fourth Proportional to 210,843.52, 290,976.96 and 121,448.32

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Solution

The fourth proportional to 210,843.52, 290,976.96 and 121,448.32 is: 167,606.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,843.52 : 290,976.96 = 121,448.32 : x
  2. Step 2: Convert to fraction form
    210,843.52/290,976.96 = 121,448.32/x
  3. Step 3: Cross multiply
    210,843.52x = 290,976.96 × 121,448.32
  4. Step 4: Simplify right side
    210,843.52x = 35,338,662,950.71
  5. Step 5: Solve for x
    x = 35,338,662,950.71/210,843.52
  6. Step 6: Final answer
    x = 167,606.11

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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.