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Finding the Fourth Proportional to 202,217.82, 303,415.02 and 77,646.30

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Solution

The fourth proportional to 202,217.82, 303,415.02 and 77,646.30 is: 116,503.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,217.82 : 303,415.02 = 77,646.30 : x
  2. Step 2: Convert to fraction form
    202,217.82/303,415.02 = 77,646.30/x
  3. Step 3: Cross multiply
    202,217.82x = 303,415.02 × 77,646.30
  4. Step 4: Simplify right side
    202,217.82x = 23,559,053,667.43
  5. Step 5: Solve for x
    x = 23,559,053,667.43/202,217.82
  6. Step 6: Final answer
    x = 116,503.35

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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.