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Finding the Fourth Proportional to 78,044.94, 107,702 and 42,234.94

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Solution

The fourth proportional to 78,044.94, 107,702 and 42,234.94 is: 58,284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,044.94 : 107,702 = 42,234.94 : x
  2. Step 2: Convert to fraction form
    78,044.94/107,702 = 42,234.94/x
  3. Step 3: Cross multiply
    78,044.94x = 107,702 × 42,234.94
  4. Step 4: Simplify right side
    78,044.94x = 4,548,787,507.88
  5. Step 5: Solve for x
    x = 4,548,787,507.88/78,044.94
  6. Step 6: Final answer
    x = 58,284.21

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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.