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Finding the Fourth Proportional to 216,950, 325,430.76 and 69,206

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Solution

The fourth proportional to 216,950, 325,430.76 and 69,206 is: 103,810.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,950 : 325,430.76 = 69,206 : x
  2. Step 2: Convert to fraction form
    216,950/325,430.76 = 69,206/x
  3. Step 3: Cross multiply
    216,950x = 325,430.76 × 69,206
  4. Step 4: Simplify right side
    216,950x = 22,521,761,176.56
  5. Step 5: Solve for x
    x = 22,521,761,176.56/216,950
  6. Step 6: Final answer
    x = 103,810.84

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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.