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Finding the Fourth Proportional to 216,005.10, 324,007.65 and 75,713.10

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Solution

The fourth proportional to 216,005.10, 324,007.65 and 75,713.10 is: 113,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,005.10 : 324,007.65 = 75,713.10 : x
  2. Step 2: Convert to fraction form
    216,005.10/324,007.65 = 75,713.10/x
  3. Step 3: Cross multiply
    216,005.10x = 324,007.65 × 75,713.10
  4. Step 4: Simplify right side
    216,005.10x = 24,531,623,605.22
  5. Step 5: Solve for x
    x = 24,531,623,605.22/216,005.10
  6. Step 6: Final answer
    x = 113,569.65

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1.5x scale

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.