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Finding the Fourth Proportional to 77,175.67, 106,468.64 and 45,330.22

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Solution

The fourth proportional to 77,175.67, 106,468.64 and 45,330.22 is: 62,535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,175.67 : 106,468.64 = 45,330.22 : x
  2. Step 2: Convert to fraction form
    77,175.67/106,468.64 = 45,330.22/x
  3. Step 3: Cross multiply
    77,175.67x = 106,468.64 × 45,330.22
  4. Step 4: Simplify right side
    77,175.67x = 4,826,246,874.30
  5. Step 5: Solve for x
    x = 4,826,246,874.30/77,175.67
  6. Step 6: Final answer
    x = 62,535.86

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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.