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Finding the Fourth Proportional to 357,972.90, 536,874.57 and 133,438.74

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Solution

The fourth proportional to 357,972.90, 536,874.57 and 133,438.74 is: 200,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,972.90 : 536,874.57 = 133,438.74 : x
  2. Step 2: Convert to fraction form
    357,972.90/536,874.57 = 133,438.74/x
  3. Step 3: Cross multiply
    357,972.90x = 536,874.57 × 133,438.74
  4. Step 4: Simplify right side
    357,972.90x = 71,639,866,158.84
  5. Step 5: Solve for x
    x = 71,639,866,158.84/357,972.90
  6. Step 6: Final answer
    x = 200,126.51

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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.