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Finding the Fourth Proportional to 147,625.70, 221,438.55 and 85,223.30

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Solution

The fourth proportional to 147,625.70, 221,438.55 and 85,223.30 is: 127,834.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,625.70 : 221,438.55 = 85,223.30 : x
  2. Step 2: Convert to fraction form
    147,625.70/221,438.55 = 85,223.30/x
  3. Step 3: Cross multiply
    147,625.70x = 221,438.55 × 85,223.30
  4. Step 4: Simplify right side
    147,625.70x = 18,871,723,978.22
  5. Step 5: Solve for x
    x = 18,871,723,978.22/147,625.70
  6. Step 6: Final answer
    x = 127,834.95

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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.