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Finding the Fourth Proportional to 231,666.48, 319,638.56 and 145,638.41

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Solution

The fourth proportional to 231,666.48, 319,638.56 and 145,638.41 is: 200,942.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,666.48 : 319,638.56 = 145,638.41 : x
  2. Step 2: Convert to fraction form
    231,666.48/319,638.56 = 145,638.41/x
  3. Step 3: Cross multiply
    231,666.48x = 319,638.56 × 145,638.41
  4. Step 4: Simplify right side
    231,666.48x = 46,551,649,326.70
  5. Step 5: Solve for x
    x = 46,551,649,326.70/231,666.48
  6. Step 6: Final answer
    x = 200,942.53

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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.