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Finding the Fourth Proportional to 77,314.60, 106,649.22 and 43,774.12

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Solution

The fourth proportional to 77,314.60, 106,649.22 and 43,774.12 is: 60,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,314.60 : 106,649.22 = 43,774.12 : x
  2. Step 2: Convert to fraction form
    77,314.60/106,649.22 = 43,774.12/x
  3. Step 3: Cross multiply
    77,314.60x = 106,649.22 × 43,774.12
  4. Step 4: Simplify right side
    77,314.60x = 4,668,475,754.19
  5. Step 5: Solve for x
    x = 4,668,475,754.19/77,314.60
  6. Step 6: Final answer
    x = 60,382.85

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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.