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Finding the Fourth Proportional to 216,139.40, 324,401.10 and 127,281.80

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Solution

The fourth proportional to 216,139.40, 324,401.10 and 127,281.80 is: 191,035.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,139.40 : 324,401.10 = 127,281.80 : x
  2. Step 2: Convert to fraction form
    216,139.40/324,401.10 = 127,281.80/x
  3. Step 3: Cross multiply
    216,139.40x = 324,401.10 × 127,281.80
  4. Step 4: Simplify right side
    216,139.40x = 41,290,355,929.98
  5. Step 5: Solve for x
    x = 41,290,355,929.98/216,139.40
  6. Step 6: Final answer
    x = 191,035.77

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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.