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Finding the Fourth Proportional to 202,203.70, 303,111.15 and 157,200.10

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Solution

The fourth proportional to 202,203.70, 303,111.15 and 157,200.10 is: 235,649.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,203.70 : 303,111.15 = 157,200.10 : x
  2. Step 2: Convert to fraction form
    202,203.70/303,111.15 = 157,200.10/x
  3. Step 3: Cross multiply
    202,203.70x = 303,111.15 × 157,200.10
  4. Step 4: Simplify right side
    202,203.70x = 47,649,103,091.12
  5. Step 5: Solve for x
    x = 47,649,103,091.12/202,203.70
  6. Step 6: Final answer
    x = 235,649.02

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1.5x scale

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.