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Finding the Fourth Proportional to 210,216.31, 290,105.30 and 119,569.95

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Solution

The fourth proportional to 210,216.31, 290,105.30 and 119,569.95 is: 165,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,216.31 : 290,105.30 = 119,569.95 : x
  2. Step 2: Convert to fraction form
    210,216.31/290,105.30 = 119,569.95/x
  3. Step 3: Cross multiply
    210,216.31x = 290,105.30 × 119,569.95
  4. Step 4: Simplify right side
    210,216.31x = 34,687,876,215.74
  5. Step 5: Solve for x
    x = 34,687,876,215.74/210,216.31
  6. Step 6: Final answer
    x = 165,010.39

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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.