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Finding the Fourth Proportional to 200,089.71, 276,132.65 and 115,234.11

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Solution

The fourth proportional to 200,089.71, 276,132.65 and 115,234.11 is: 159,028.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,089.71 : 276,132.65 = 115,234.11 : x
  2. Step 2: Convert to fraction form
    200,089.71/276,132.65 = 115,234.11/x
  3. Step 3: Cross multiply
    200,089.71x = 276,132.65 × 115,234.11
  4. Step 4: Simplify right side
    200,089.71x = 31,819,899,588.52
  5. Step 5: Solve for x
    x = 31,819,899,588.52/200,089.71
  6. Step 6: Final answer
    x = 159,028.17

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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.