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Finding the Fourth Proportional to 150,505, 207,703.38 and 83,437

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Solution

The fourth proportional to 150,505, 207,703.38 and 83,437 is: 115,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,505 : 207,703.38 = 83,437 : x
  2. Step 2: Convert to fraction form
    150,505/207,703.38 = 83,437/x
  3. Step 3: Cross multiply
    150,505x = 207,703.38 × 83,437
  4. Step 4: Simplify right side
    150,505x = 17,330,146,917.06
  5. Step 5: Solve for x
    x = 17,330,146,917.06/150,505
  6. Step 6: Final answer
    x = 115,146.65

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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.