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Finding the Fourth Proportional to 208,757.82, 288,320.51 and 140,655.56

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Solution

The fourth proportional to 208,757.82, 288,320.51 and 140,655.56 is: 194,262.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,757.82 : 288,320.51 = 140,655.56 : x
  2. Step 2: Convert to fraction form
    208,757.82/288,320.51 = 140,655.56/x
  3. Step 3: Cross multiply
    208,757.82x = 288,320.51 × 140,655.56
  4. Step 4: Simplify right side
    208,757.82x = 40,553,881,703.57
  5. Step 5: Solve for x
    x = 40,553,881,703.57/208,757.82
  6. Step 6: Final answer
    x = 194,262.81

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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.