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Finding the Fourth Proportional to 76,891.80, 105,953.22 and 56,716.74

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Solution

The fourth proportional to 76,891.80, 105,953.22 and 56,716.74 is: 78,152.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,891.80 : 105,953.22 = 56,716.74 : x
  2. Step 2: Convert to fraction form
    76,891.80/105,953.22 = 56,716.74/x
  3. Step 3: Cross multiply
    76,891.80x = 105,953.22 × 56,716.74
  4. Step 4: Simplify right side
    76,891.80x = 6,009,321,230.90
  5. Step 5: Solve for x
    x = 6,009,321,230.90/76,891.80
  6. Step 6: Final answer
    x = 78,152.95

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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.