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Finding the Fourth Proportional to 78,143.90, 117,087.71 and 33,129.29

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Solution

The fourth proportional to 78,143.90, 117,087.71 and 33,129.29 is: 49,639.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,143.90 : 117,087.71 = 33,129.29 : x
  2. Step 2: Convert to fraction form
    78,143.90/117,087.71 = 33,129.29/x
  3. Step 3: Cross multiply
    78,143.90x = 117,087.71 × 33,129.29
  4. Step 4: Simplify right side
    78,143.90x = 3,879,032,388.02
  5. Step 5: Solve for x
    x = 3,879,032,388.02/78,143.90
  6. Step 6: Final answer
    x = 49,639.60

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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.