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Finding the Fourth Proportional to 138,846.17, 191,608.31 and 78,417.54

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Solution

The fourth proportional to 138,846.17, 191,608.31 and 78,417.54 is: 108,216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,846.17 : 191,608.31 = 78,417.54 : x
  2. Step 2: Convert to fraction form
    138,846.17/191,608.31 = 78,417.54/x
  3. Step 3: Cross multiply
    138,846.17x = 191,608.31 × 78,417.54
  4. Step 4: Simplify right side
    138,846.17x = 15,025,452,509.80
  5. Step 5: Solve for x
    x = 15,025,452,509.80/138,846.17
  6. Step 6: Final answer
    x = 108,216.54

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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.