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Finding the Fourth Proportional to 78,672.62, 117,924.88 and 31,222

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Solution

The fourth proportional to 78,672.62, 117,924.88 and 31,222 is: 46,799.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,672.62 : 117,924.88 = 31,222 : x
  2. Step 2: Convert to fraction form
    78,672.62/117,924.88 = 31,222/x
  3. Step 3: Cross multiply
    78,672.62x = 117,924.88 × 31,222
  4. Step 4: Simplify right side
    78,672.62x = 3,681,850,603.36
  5. Step 5: Solve for x
    x = 3,681,850,603.36/78,672.62
  6. Step 6: Final answer
    x = 46,799.64

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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.