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Finding the Fourth Proportional to 115,989, 173,983.50 and 28,437

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Solution

The fourth proportional to 115,989, 173,983.50 and 28,437 is: 42,655.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,989 : 173,983.50 = 28,437 : x
  2. Step 2: Convert to fraction form
    115,989/173,983.50 = 28,437/x
  3. Step 3: Cross multiply
    115,989x = 173,983.50 × 28,437
  4. Step 4: Simplify right side
    115,989x = 4,947,568,789.50
  5. Step 5: Solve for x
    x = 4,947,568,789.50/115,989
  6. Step 6: Final answer
    x = 42,655.50

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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.