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Finding the Fourth Proportional to 189,891.48, 261,841.58 and 121,882.77

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Solution

The fourth proportional to 189,891.48, 261,841.58 and 121,882.77 is: 168,064.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,891.48 : 261,841.58 = 121,882.77 : x
  2. Step 2: Convert to fraction form
    189,891.48/261,841.58 = 121,882.77/x
  3. Step 3: Cross multiply
    189,891.48x = 261,841.58 × 121,882.77
  4. Step 4: Simplify right side
    189,891.48x = 31,913,976,462.16
  5. Step 5: Solve for x
    x = 31,913,976,462.16/189,891.48
  6. Step 6: Final answer
    x = 168,064.29

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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.