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Finding the Fourth Proportional to 202,000.78, 303,013.62 and 83,681.38

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Solution

The fourth proportional to 202,000.78, 303,013.62 and 83,681.38 is: 125,527.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,000.78 : 303,013.62 = 83,681.38 : x
  2. Step 2: Convert to fraction form
    202,000.78/303,013.62 = 83,681.38/x
  3. Step 3: Cross multiply
    202,000.78x = 303,013.62 × 83,681.38
  4. Step 4: Simplify right side
    202,000.78x = 25,356,597,880.40
  5. Step 5: Solve for x
    x = 25,356,597,880.40/202,000.78
  6. Step 6: Final answer
    x = 125,527.23

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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.