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Finding the Fourth Proportional to 78,218.65, 107,942.25 and 42,409.21

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Solution

The fourth proportional to 78,218.65, 107,942.25 and 42,409.21 is: 58,524.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,218.65 : 107,942.25 = 42,409.21 : x
  2. Step 2: Convert to fraction form
    78,218.65/107,942.25 = 42,409.21/x
  3. Step 3: Cross multiply
    78,218.65x = 107,942.25 × 42,409.21
  4. Step 4: Simplify right side
    78,218.65x = 4,577,745,548.12
  5. Step 5: Solve for x
    x = 4,577,745,548.12/78,218.65
  6. Step 6: Final answer
    x = 58,524.99

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1.5x scale

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.