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Finding the Fourth Proportional to 105,803.12, 158,700.36 and 43,472

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Solution

The fourth proportional to 105,803.12, 158,700.36 and 43,472 is: 65,206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,803.12 : 158,700.36 = 43,472 : x
  2. Step 2: Convert to fraction form
    105,803.12/158,700.36 = 43,472/x
  3. Step 3: Cross multiply
    105,803.12x = 158,700.36 × 43,472
  4. Step 4: Simplify right side
    105,803.12x = 6,899,022,049.92
  5. Step 5: Solve for x
    x = 6,899,022,049.92/105,803.12
  6. Step 6: Final answer
    x = 65,206.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.