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Finding the Fourth Proportional to 148,002.70, 221,821.80 and 100,617.70

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Solution

The fourth proportional to 148,002.70, 221,821.80 and 100,617.70 is: 150,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,002.70 : 221,821.80 = 100,617.70 : x
  2. Step 2: Convert to fraction form
    148,002.70/221,821.80 = 100,617.70/x
  3. Step 3: Cross multiply
    148,002.70x = 221,821.80 × 100,617.70
  4. Step 4: Simplify right side
    148,002.70x = 22,319,199,325.86
  5. Step 5: Solve for x
    x = 22,319,199,325.86/148,002.70
  6. Step 6: Final answer
    x = 150,802.65

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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.