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Finding the Fourth Proportional to 78,333.86, 108,100.97 and 42,523.89

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Solution

The fourth proportional to 78,333.86, 108,100.97 and 42,523.89 is: 58,683.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,333.86 : 108,100.97 = 42,523.89 : x
  2. Step 2: Convert to fraction form
    78,333.86/108,100.97 = 42,523.89/x
  3. Step 3: Cross multiply
    78,333.86x = 108,100.97 × 42,523.89
  4. Step 4: Simplify right side
    78,333.86x = 4,596,873,544.55
  5. Step 5: Solve for x
    x = 4,596,873,544.55/78,333.86
  6. Step 6: Final answer
    x = 58,683.10

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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.