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Finding the Fourth Proportional to 83,147.38, 114,745.90 and 45,424.06

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Solution

The fourth proportional to 83,147.38, 114,745.90 and 45,424.06 is: 62,686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,147.38 : 114,745.90 = 45,424.06 : x
  2. Step 2: Convert to fraction form
    83,147.38/114,745.90 = 45,424.06/x
  3. Step 3: Cross multiply
    83,147.38x = 114,745.90 × 45,424.06
  4. Step 4: Simplify right side
    83,147.38x = 5,212,224,646.35
  5. Step 5: Solve for x
    x = 5,212,224,646.35/83,147.38
  6. Step 6: Final answer
    x = 62,686.58

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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.