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Finding the Fourth Proportional to 78,323.00, 117,326.48 and 36,144.48

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Solution

The fourth proportional to 78,323.00, 117,326.48 and 36,144.48 is: 54,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,323.00 : 117,326.48 = 36,144.48 : x
  2. Step 2: Convert to fraction form
    78,323.00/117,326.48 = 36,144.48/x
  3. Step 3: Cross multiply
    78,323.00x = 117,326.48 × 36,144.48
  4. Step 4: Simplify right side
    78,323.00x = 4,240,704,429.11
  5. Step 5: Solve for x
    x = 4,240,704,429.11/78,323.00
  6. Step 6: Final answer
    x = 54,143.80

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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.