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Finding the Fourth Proportional to 105,564.92, 145,679.64 and 57,821.30

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Solution

The fourth proportional to 105,564.92, 145,679.64 and 57,821.30 is: 79,793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,564.92 : 145,679.64 = 57,821.30 : x
  2. Step 2: Convert to fraction form
    105,564.92/145,679.64 = 57,821.30/x
  3. Step 3: Cross multiply
    105,564.92x = 145,679.64 × 57,821.30
  4. Step 4: Simplify right side
    105,564.92x = 8,423,386,168.33
  5. Step 5: Solve for x
    x = 8,423,386,168.33/105,564.92
  6. Step 6: Final answer
    x = 79,793.42

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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.