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Finding the Fourth Proportional to 78,219.64, 107,943.37 and 42,409.69

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Solution

The fourth proportional to 78,219.64, 107,943.37 and 42,409.69 is: 58,525.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,219.64 : 107,943.37 = 42,409.69 : x
  2. Step 2: Convert to fraction form
    78,219.64/107,943.37 = 42,409.69/x
  3. Step 3: Cross multiply
    78,219.64x = 107,943.37 × 42,409.69
  4. Step 4: Simplify right side
    78,219.64x = 4,577,844,107.49
  5. Step 5: Solve for x
    x = 4,577,844,107.49/78,219.64
  6. Step 6: Final answer
    x = 58,525.51

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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.