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Finding the Fourth Proportional to 208,753.80, 288,080.27 and 113,260.51

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Solution

The fourth proportional to 208,753.80, 288,080.27 and 113,260.51 is: 156,299.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,753.80 : 288,080.27 = 113,260.51 : x
  2. Step 2: Convert to fraction form
    208,753.80/288,080.27 = 113,260.51/x
  3. Step 3: Cross multiply
    208,753.80x = 288,080.27 × 113,260.51
  4. Step 4: Simplify right side
    208,753.80x = 32,628,118,301.14
  5. Step 5: Solve for x
    x = 32,628,118,301.14/208,753.80
  6. Step 6: Final answer
    x = 156,299.52

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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.