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Finding the Fourth Proportional to 210,843.37, 290,970.75 and 120,197.71

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Solution

The fourth proportional to 210,843.37, 290,970.75 and 120,197.71 is: 165,876.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,843.37 : 290,970.75 = 120,197.71 : x
  2. Step 2: Convert to fraction form
    210,843.37/290,970.75 = 120,197.71/x
  3. Step 3: Cross multiply
    210,843.37x = 290,970.75 × 120,197.71
  4. Step 4: Simplify right side
    210,843.37x = 34,974,017,826.98
  5. Step 5: Solve for x
    x = 34,974,017,826.98/210,843.37
  6. Step 6: Final answer
    x = 165,876.77

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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.