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Finding the Fourth Proportional to 78,549.93, 117,807.14 and 22,388.83

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Solution

The fourth proportional to 78,549.93, 117,807.14 and 22,388.83 is: 33,578.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,549.93 : 117,807.14 = 22,388.83 : x
  2. Step 2: Convert to fraction form
    78,549.93/117,807.14 = 22,388.83/x
  3. Step 3: Cross multiply
    78,549.93x = 117,807.14 × 22,388.83
  4. Step 4: Simplify right side
    78,549.93x = 2,637,563,791.70
  5. Step 5: Solve for x
    x = 2,637,563,791.70/78,549.93
  6. Step 6: Final answer
    x = 33,578.18

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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.