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Finding the Fourth Proportional to 77,175.30, 106,468.12 and 45,329.85

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Solution

The fourth proportional to 77,175.30, 106,468.12 and 45,329.85 is: 62,535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,175.30 : 106,468.12 = 45,329.85 : x
  2. Step 2: Convert to fraction form
    77,175.30/106,468.12 = 45,329.85/x
  3. Step 3: Cross multiply
    77,175.30x = 106,468.12 × 45,329.85
  4. Step 4: Simplify right side
    77,175.30x = 4,826,183,490.37
  5. Step 5: Solve for x
    x = 4,826,183,490.37/77,175.30
  6. Step 6: Final answer
    x = 62,535.34

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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.