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Finding the Fourth Proportional to 208,866.80, 288,237.64 and 113,373.48

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Solution

The fourth proportional to 208,866.80, 288,237.64 and 113,373.48 is: 156,456.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,866.80 : 288,237.64 = 113,373.48 : x
  2. Step 2: Convert to fraction form
    208,866.80/288,237.64 = 113,373.48/x
  3. Step 3: Cross multiply
    208,866.80x = 288,237.64 × 113,373.48
  4. Step 4: Simplify right side
    208,866.80x = 32,678,504,313.79
  5. Step 5: Solve for x
    x = 32,678,504,313.79/208,866.80
  6. Step 6: Final answer
    x = 156,456.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.