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Finding the Fourth Proportional to 78,297.68, 107,881.80 and 53,103.44

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Solution

The fourth proportional to 78,297.68, 107,881.80 and 53,103.44 is: 73,168.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,297.68 : 107,881.80 = 53,103.44 : x
  2. Step 2: Convert to fraction form
    78,297.68/107,881.80 = 53,103.44/x
  3. Step 3: Cross multiply
    78,297.68x = 107,881.80 × 53,103.44
  4. Step 4: Simplify right side
    78,297.68x = 5,728,894,693.39
  5. Step 5: Solve for x
    x = 5,728,894,693.39/78,297.68
  6. Step 6: Final answer
    x = 73,168.13

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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.