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Finding the Fourth Proportional to 216,488, 324,732.64 and 85,160

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Solution

The fourth proportional to 216,488, 324,732.64 and 85,160 is: 127,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,488 : 324,732.64 = 85,160 : x
  2. Step 2: Convert to fraction form
    216,488/324,732.64 = 85,160/x
  3. Step 3: Cross multiply
    216,488x = 324,732.64 × 85,160
  4. Step 4: Simplify right side
    216,488x = 27,654,231,622.40
  5. Step 5: Solve for x
    x = 27,654,231,622.40/216,488
  6. Step 6: Final answer
    x = 127,740.25

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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.