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Finding the Fourth Proportional to 105,563.91, 145,672.74 and 57,808.05

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Solution

The fourth proportional to 105,563.91, 145,672.74 and 57,808.05 is: 79,772.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,563.91 : 145,672.74 = 57,808.05 : x
  2. Step 2: Convert to fraction form
    105,563.91/145,672.74 = 57,808.05/x
  3. Step 3: Cross multiply
    105,563.91x = 145,672.74 × 57,808.05
  4. Step 4: Simplify right side
    105,563.91x = 8,421,057,037.56
  5. Step 5: Solve for x
    x = 8,421,057,037.56/105,563.91
  6. Step 6: Final answer
    x = 79,772.12

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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.