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Finding the Fourth Proportional to 78,550.93, 117,808.64 and 22,389.83

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Solution

The fourth proportional to 78,550.93, 117,808.64 and 22,389.83 is: 33,579.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,550.93 : 117,808.64 = 22,389.83 : x
  2. Step 2: Convert to fraction form
    78,550.93/117,808.64 = 22,389.83/x
  3. Step 3: Cross multiply
    78,550.93x = 117,808.64 × 22,389.83
  4. Step 4: Simplify right side
    78,550.93x = 2,637,715,422.13
  5. Step 5: Solve for x
    x = 2,637,715,422.13/78,550.93
  6. Step 6: Final answer
    x = 33,579.68

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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.