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Finding the Fourth Proportional to 159,394.50, 219,955.86 and 91,408.16

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Solution

The fourth proportional to 159,394.50, 219,955.86 and 91,408.16 is: 126,138.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,394.50 : 219,955.86 = 91,408.16 : x
  2. Step 2: Convert to fraction form
    159,394.50/219,955.86 = 91,408.16/x
  3. Step 3: Cross multiply
    159,394.50x = 219,955.86 × 91,408.16
  4. Step 4: Simplify right side
    159,394.50x = 20,105,760,993.71
  5. Step 5: Solve for x
    x = 20,105,760,993.71/159,394.50
  6. Step 6: Final answer
    x = 126,138.36

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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.