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Finding the Fourth Proportional to 78,154.47, 107,855.15 and 47,922.44

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Solution

The fourth proportional to 78,154.47, 107,855.15 and 47,922.44 is: 66,134.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,154.47 : 107,855.15 = 47,922.44 : x
  2. Step 2: Convert to fraction form
    78,154.47/107,855.15 = 47,922.44/x
  3. Step 3: Cross multiply
    78,154.47x = 107,855.15 × 47,922.44
  4. Step 4: Simplify right side
    78,154.47x = 5,168,681,175.68
  5. Step 5: Solve for x
    x = 5,168,681,175.68/78,154.47
  6. Step 6: Final answer
    x = 66,134.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.