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Finding the Fourth Proportional to 202,137.90, 303,206.85 and 185,808.30

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Solution

The fourth proportional to 202,137.90, 303,206.85 and 185,808.30 is: 278,712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,137.90 : 303,206.85 = 185,808.30 : x
  2. Step 2: Convert to fraction form
    202,137.90/303,206.85 = 185,808.30/x
  3. Step 3: Cross multiply
    202,137.90x = 303,206.85 × 185,808.30
  4. Step 4: Simplify right side
    202,137.90x = 56,338,349,346.86
  5. Step 5: Solve for x
    x = 56,338,349,346.86/202,137.90
  6. Step 6: Final answer
    x = 278,712.45

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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.