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Finding the Fourth Proportional to 150,671.76, 207,938.52 and 83,603.76

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Solution

The fourth proportional to 150,671.76, 207,938.52 and 83,603.76 is: 115,379.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,671.76 : 207,938.52 = 83,603.76 : x
  2. Step 2: Convert to fraction form
    150,671.76/207,938.52 = 83,603.76/x
  3. Step 3: Cross multiply
    150,671.76x = 207,938.52 × 83,603.76
  4. Step 4: Simplify right side
    150,671.76x = 17,384,442,120.84
  5. Step 5: Solve for x
    x = 17,384,442,120.84/150,671.76
  6. Step 6: Final answer
    x = 115,379.56

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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.