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Finding the Fourth Proportional to 210,841.52, 290,974.20 and 121,446.32

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Solution

The fourth proportional to 210,841.52, 290,974.20 and 121,446.32 is: 167,603.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,841.52 : 290,974.20 = 121,446.32 : x
  2. Step 2: Convert to fraction form
    210,841.52/290,974.20 = 121,446.32/x
  3. Step 3: Cross multiply
    210,841.52x = 290,974.20 × 121,446.32
  4. Step 4: Simplify right side
    210,841.52x = 35,337,745,804.94
  5. Step 5: Solve for x
    x = 35,337,745,804.94/210,841.52
  6. Step 6: Final answer
    x = 167,603.35

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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.