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Finding the Fourth Proportional to 223,313.10, 334,516.05 and 138,813.90

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Solution

The fourth proportional to 223,313.10, 334,516.05 and 138,813.90 is: 207,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,313.10 : 334,516.05 = 138,813.90 : x
  2. Step 2: Convert to fraction form
    223,313.10/334,516.05 = 138,813.90/x
  3. Step 3: Cross multiply
    223,313.10x = 334,516.05 × 138,813.90
  4. Step 4: Simplify right side
    223,313.10x = 46,435,477,513.10
  5. Step 5: Solve for x
    x = 46,435,477,513.10/223,313.10
  6. Step 6: Final answer
    x = 207,938.89

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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.