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Finding the Fourth Proportional to 210,443.96, 290,400.90 and 119,822.06

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Solution

The fourth proportional to 210,443.96, 290,400.90 and 119,822.06 is: 165,347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,443.96 : 290,400.90 = 119,822.06 : x
  2. Step 2: Convert to fraction form
    210,443.96/290,400.90 = 119,822.06/x
  3. Step 3: Cross multiply
    210,443.96x = 290,400.90 × 119,822.06
  4. Step 4: Simplify right side
    210,443.96x = 34,796,434,063.85
  5. Step 5: Solve for x
    x = 34,796,434,063.85/210,443.96
  6. Step 6: Final answer
    x = 165,347.74

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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.