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Finding the Fourth Proportional to 231,806.70, 319,856.67 and 135,026.46

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Solution

The fourth proportional to 231,806.70, 319,856.67 and 135,026.46 is: 186,315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,806.70 : 319,856.67 = 135,026.46 : x
  2. Step 2: Convert to fraction form
    231,806.70/319,856.67 = 135,026.46/x
  3. Step 3: Cross multiply
    231,806.70x = 319,856.67 × 135,026.46
  4. Step 4: Simplify right side
    231,806.70x = 43,189,113,857.49
  5. Step 5: Solve for x
    x = 43,189,113,857.49/231,806.70
  6. Step 6: Final answer
    x = 186,315.21

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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.