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Finding the Fourth Proportional to 261,156.69, 391,791.43 and 81,238.69

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Solution

The fourth proportional to 261,156.69, 391,791.43 and 81,238.69 is: 121,875.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,156.69 : 391,791.43 = 81,238.69 : x
  2. Step 2: Convert to fraction form
    261,156.69/391,791.43 = 81,238.69/x
  3. Step 3: Cross multiply
    261,156.69x = 391,791.43 × 81,238.69
  4. Step 4: Simplify right side
    261,156.69x = 31,828,623,117.71
  5. Step 5: Solve for x
    x = 31,828,623,117.71/261,156.69
  6. Step 6: Final answer
    x = 121,875.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.