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Finding the Fourth Proportional to 105,422, 145,529.86 and 67,232.78

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Solution

The fourth proportional to 105,422, 145,529.86 and 67,232.78 is: 92,811.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,422 : 145,529.86 = 67,232.78 : x
  2. Step 2: Convert to fraction form
    105,422/145,529.86 = 67,232.78/x
  3. Step 3: Cross multiply
    105,422x = 145,529.86 × 67,232.78
  4. Step 4: Simplify right side
    105,422x = 9,784,377,060.81
  5. Step 5: Solve for x
    x = 9,784,377,060.81/105,422
  6. Step 6: Final answer
    x = 92,811.53

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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.