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Finding the Fourth Proportional to 216,572.64, 324,955.92 and 137,666.40

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Solution

The fourth proportional to 216,572.64, 324,955.92 and 137,666.40 is: 206,561.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,572.64 : 324,955.92 = 137,666.40 : x
  2. Step 2: Convert to fraction form
    216,572.64/324,955.92 = 137,666.40/x
  3. Step 3: Cross multiply
    216,572.64x = 324,955.92 × 137,666.40
  4. Step 4: Simplify right side
    216,572.64x = 44,735,511,665.09
  5. Step 5: Solve for x
    x = 44,735,511,665.09/216,572.64
  6. Step 6: Final answer
    x = 206,561.23

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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.