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Finding the Fourth Proportional to 105,423.70, 145,485.78 and 57,676

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Solution

The fourth proportional to 105,423.70, 145,485.78 and 57,676 is: 79,593.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,423.70 : 145,485.78 = 57,676 : x
  2. Step 2: Convert to fraction form
    105,423.70/145,485.78 = 57,676/x
  3. Step 3: Cross multiply
    105,423.70x = 145,485.78 × 57,676
  4. Step 4: Simplify right side
    105,423.70x = 8,391,037,847.28
  5. Step 5: Solve for x
    x = 8,391,037,847.28/105,423.70
  6. Step 6: Final answer
    x = 79,593.47

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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.