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Finding the Fourth Proportional to 202,145.70, 303,024.15 and 157,142.10

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Solution

The fourth proportional to 202,145.70, 303,024.15 and 157,142.10 is: 235,562.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,145.70 : 303,024.15 = 157,142.10 : x
  2. Step 2: Convert to fraction form
    202,145.70/303,024.15 = 157,142.10/x
  3. Step 3: Cross multiply
    202,145.70x = 303,024.15 × 157,142.10
  4. Step 4: Simplify right side
    202,145.70x = 47,617,851,281.72
  5. Step 5: Solve for x
    x = 47,617,851,281.72/202,145.70
  6. Step 6: Final answer
    x = 235,562.03

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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.