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Finding the Fourth Proportional to 78,219.63, 107,942.09 and 42,409.53

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Solution

The fourth proportional to 78,219.63, 107,942.09 and 42,409.53 is: 58,524.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,219.63 : 107,942.09 = 42,409.53 : x
  2. Step 2: Convert to fraction form
    78,219.63/107,942.09 = 42,409.53/x
  3. Step 3: Cross multiply
    78,219.63x = 107,942.09 × 42,409.53
  4. Step 4: Simplify right side
    78,219.63x = 4,577,773,092.07
  5. Step 5: Solve for x
    x = 4,577,773,092.07/78,219.63
  6. Step 6: Final answer
    x = 58,524.61

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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.