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Finding the Fourth Proportional to 216,081.20, 323,974.20 and 97,688

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Solution

The fourth proportional to 216,081.20, 323,974.20 and 97,688 is: 146,465.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,081.20 : 323,974.20 = 97,688 : x
  2. Step 2: Convert to fraction form
    216,081.20/323,974.20 = 97,688/x
  3. Step 3: Cross multiply
    216,081.20x = 323,974.20 × 97,688
  4. Step 4: Simplify right side
    216,081.20x = 31,648,391,649.60
  5. Step 5: Solve for x
    x = 31,648,391,649.60/216,081.20
  6. Step 6: Final answer
    x = 146,465.27

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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.