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Finding the Fourth Proportional to 202,421.70, 303,438.15 and 157,418.10

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Solution

The fourth proportional to 202,421.70, 303,438.15 and 157,418.10 is: 235,975.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,421.70 : 303,438.15 = 157,418.10 : x
  2. Step 2: Convert to fraction form
    202,421.70/303,438.15 = 157,418.10/x
  3. Step 3: Cross multiply
    202,421.70x = 303,438.15 × 157,418.10
  4. Step 4: Simplify right side
    202,421.70x = 47,766,657,040.52
  5. Step 5: Solve for x
    x = 47,766,657,040.52/202,421.70
  6. Step 6: Final answer
    x = 235,975.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.