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Finding the Fourth Proportional to 144,866.28, 217,361.85 and 78,353.24

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Solution

The fourth proportional to 144,866.28, 217,361.85 and 78,353.24 is: 117,563.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,866.28 : 217,361.85 = 78,353.24 : x
  2. Step 2: Convert to fraction form
    144,866.28/217,361.85 = 78,353.24/x
  3. Step 3: Cross multiply
    144,866.28x = 217,361.85 × 78,353.24
  4. Step 4: Simplify right side
    144,866.28x = 17,031,004,808.13
  5. Step 5: Solve for x
    x = 17,031,004,808.13/144,866.28
  6. Step 6: Final answer
    x = 117,563.62

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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.