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Finding the Fourth Proportional to 216,291.50, 324,437.26 and 68,547.50

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Solution

The fourth proportional to 216,291.50, 324,437.26 and 68,547.50 is: 102,821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,291.50 : 324,437.26 = 68,547.50 : x
  2. Step 2: Convert to fraction form
    216,291.50/324,437.26 = 68,547.50/x
  3. Step 3: Cross multiply
    216,291.50x = 324,437.26 × 68,547.50
  4. Step 4: Simplify right side
    216,291.50x = 22,239,363,079.85
  5. Step 5: Solve for x
    x = 22,239,363,079.85/216,291.50
  6. Step 6: Final answer
    x = 102,821.25

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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.