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Finding the Fourth Proportional to 150,874.50, 208,207.08 and 83,806.50

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Solution

The fourth proportional to 150,874.50, 208,207.08 and 83,806.50 is: 115,653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,874.50 : 208,207.08 = 83,806.50 : x
  2. Step 2: Convert to fraction form
    150,874.50/208,207.08 = 83,806.50/x
  3. Step 3: Cross multiply
    150,874.50x = 208,207.08 × 83,806.50
  4. Step 4: Simplify right side
    150,874.50x = 17,449,106,650.02
  5. Step 5: Solve for x
    x = 17,449,106,650.02/150,874.50
  6. Step 6: Final answer
    x = 115,653.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.