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Finding the Fourth Proportional to 78,092.78, 117,017.93 and 54,448.61

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Solution

The fourth proportional to 78,092.78, 117,017.93 and 54,448.61 is: 81,588.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,092.78 : 117,017.93 = 54,448.61 : x
  2. Step 2: Convert to fraction form
    78,092.78/117,017.93 = 54,448.61/x
  3. Step 3: Cross multiply
    78,092.78x = 117,017.93 × 54,448.61
  4. Step 4: Simplify right side
    78,092.78x = 6,371,463,184.61
  5. Step 5: Solve for x
    x = 6,371,463,184.61/78,092.78
  6. Step 6: Final answer
    x = 81,588.38

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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.