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Finding the Fourth Proportional to 78,381.36, 108,167.40 and 42,571.44

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Solution

The fourth proportional to 78,381.36, 108,167.40 and 42,571.44 is: 58,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,381.36 : 108,167.40 = 42,571.44 : x
  2. Step 2: Convert to fraction form
    78,381.36/108,167.40 = 42,571.44/x
  3. Step 3: Cross multiply
    78,381.36x = 108,167.40 × 42,571.44
  4. Step 4: Simplify right side
    78,381.36x = 4,604,841,979.06
  5. Step 5: Solve for x
    x = 4,604,841,979.06/78,381.36
  6. Step 6: Final answer
    x = 58,749.20

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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.