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Finding the Fourth Proportional to 133,428.80, 200,125.90 and 50,312

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Solution

The fourth proportional to 133,428.80, 200,125.90 and 50,312 is: 75,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,428.80 : 200,125.90 = 50,312 : x
  2. Step 2: Convert to fraction form
    133,428.80/200,125.90 = 50,312/x
  3. Step 3: Cross multiply
    133,428.80x = 200,125.90 × 50,312
  4. Step 4: Simplify right side
    133,428.80x = 10,068,734,280.80
  5. Step 5: Solve for x
    x = 10,068,734,280.80/133,428.80
  6. Step 6: Final answer
    x = 75,461.48

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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.