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Finding the Fourth Proportional to 150,718.50, 208,001.25 and 83,650.50

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Solution

The fourth proportional to 150,718.50, 208,001.25 and 83,650.50 is: 115,443.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,718.50 : 208,001.25 = 83,650.50 : x
  2. Step 2: Convert to fraction form
    150,718.50/208,001.25 = 83,650.50/x
  3. Step 3: Cross multiply
    150,718.50x = 208,001.25 × 83,650.50
  4. Step 4: Simplify right side
    150,718.50x = 17,399,408,563.13
  5. Step 5: Solve for x
    x = 17,399,408,563.13/150,718.50
  6. Step 6: Final answer
    x = 115,443.08

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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.