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Finding the Fourth Proportional to 138,777.84, 191,532.96 and 78,372.72

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Solution

The fourth proportional to 138,777.84, 191,532.96 and 78,372.72 is: 108,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,777.84 : 191,532.96 = 78,372.72 : x
  2. Step 2: Convert to fraction form
    138,777.84/191,532.96 = 78,372.72/x
  3. Step 3: Cross multiply
    138,777.84x = 191,532.96 × 78,372.72
  4. Step 4: Simplify right side
    138,777.84x = 15,010,959,044.85
  5. Step 5: Solve for x
    x = 15,010,959,044.85/138,777.84
  6. Step 6: Final answer
    x = 108,165.39

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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.