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Finding the Fourth Proportional to 208,828.99, 288,182.31 and 113,335.71

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Solution

The fourth proportional to 208,828.99, 288,182.31 and 113,335.71 is: 156,402.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,828.99 : 288,182.31 = 113,335.71 : x
  2. Step 2: Convert to fraction form
    208,828.99/288,182.31 = 113,335.71/x
  3. Step 3: Cross multiply
    208,828.99x = 288,182.31 × 113,335.71
  4. Step 4: Simplify right side
    208,828.99x = 32,661,345,207.60
  5. Step 5: Solve for x
    x = 32,661,345,207.60/208,828.99
  6. Step 6: Final answer
    x = 156,402.36

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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.