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Finding the Fourth Proportional to 78,033.78, 107,687.40 and 42,224.49

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Solution

The fourth proportional to 78,033.78, 107,687.40 and 42,224.49 is: 58,270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,033.78 : 107,687.40 = 42,224.49 : x
  2. Step 2: Convert to fraction form
    78,033.78/107,687.40 = 42,224.49/x
  3. Step 3: Cross multiply
    78,033.78x = 107,687.40 × 42,224.49
  4. Step 4: Simplify right side
    78,033.78x = 4,547,045,544.43
  5. Step 5: Solve for x
    x = 4,547,045,544.43/78,033.78
  6. Step 6: Final answer
    x = 58,270.22

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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.