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Finding the Fourth Proportional to 210,685.52, 290,674.79 and 119,977.16

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Solution

The fourth proportional to 210,685.52, 290,674.79 and 119,977.16 is: 165,527.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,685.52 : 290,674.79 = 119,977.16 : x
  2. Step 2: Convert to fraction form
    210,685.52/290,674.79 = 119,977.16/x
  3. Step 3: Cross multiply
    210,685.52x = 290,674.79 × 119,977.16
  4. Step 4: Simplify right side
    210,685.52x = 34,874,335,819.50
  5. Step 5: Solve for x
    x = 34,874,335,819.50/210,685.52
  6. Step 6: Final answer
    x = 165,527.92

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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.