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Finding the Fourth Proportional to 78,144, 107,853.30 and 44,610

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Solution

The fourth proportional to 78,144, 107,853.30 and 44,610 is: 61,570.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,144 : 107,853.30 = 44,610 : x
  2. Step 2: Convert to fraction form
    78,144/107,853.30 = 44,610/x
  3. Step 3: Cross multiply
    78,144x = 107,853.30 × 44,610
  4. Step 4: Simplify right side
    78,144x = 4,811,335,713
  5. Step 5: Solve for x
    x = 4,811,335,713/78,144
  6. Step 6: Final answer
    x = 61,570.12

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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.