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Finding the Fourth Proportional to 205,314.59, 307,971.88 and 77,254.94

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Solution

The fourth proportional to 205,314.59, 307,971.88 and 77,254.94 is: 115,882.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,314.59 : 307,971.88 = 77,254.94 : x
  2. Step 2: Convert to fraction form
    205,314.59/307,971.88 = 77,254.94/x
  3. Step 3: Cross multiply
    205,314.59x = 307,971.88 × 77,254.94
  4. Step 4: Simplify right side
    205,314.59x = 23,792,349,687.88
  5. Step 5: Solve for x
    x = 23,792,349,687.88/205,314.59
  6. Step 6: Final answer
    x = 115,882.41

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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.