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Finding the Fourth Proportional to 83,745.72, 115,453.62 and 66,807.45

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Solution

The fourth proportional to 83,745.72, 115,453.62 and 66,807.45 is: 92,102.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,745.72 : 115,453.62 = 66,807.45 : x
  2. Step 2: Convert to fraction form
    83,745.72/115,453.62 = 66,807.45/x
  3. Step 3: Cross multiply
    83,745.72x = 115,453.62 × 66,807.45
  4. Step 4: Simplify right side
    83,745.72x = 7,713,161,945.47
  5. Step 5: Solve for x
    x = 7,713,161,945.47/83,745.72
  6. Step 6: Final answer
    x = 92,102.16

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1.5x scale

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.