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Finding the Fourth Proportional to 138,394.72, 190,985.84 and 78,782.56

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Solution

The fourth proportional to 138,394.72, 190,985.84 and 78,782.56 is: 108,720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,394.72 : 190,985.84 = 78,782.56 : x
  2. Step 2: Convert to fraction form
    138,394.72/190,985.84 = 78,782.56/x
  3. Step 3: Cross multiply
    138,394.72x = 190,985.84 × 78,782.56
  4. Step 4: Simplify right side
    138,394.72x = 15,046,353,398.95
  5. Step 5: Solve for x
    x = 15,046,353,398.95/138,394.72
  6. Step 6: Final answer
    x = 108,720.57

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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.