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Finding the Fourth Proportional to 208,795.01, 288,137.87 and 113,301.68

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Solution

The fourth proportional to 208,795.01, 288,137.87 and 113,301.68 is: 156,356.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,795.01 : 288,137.87 = 113,301.68 : x
  2. Step 2: Convert to fraction form
    208,795.01/288,137.87 = 113,301.68/x
  3. Step 3: Cross multiply
    208,795.01x = 288,137.87 × 113,301.68
  4. Step 4: Simplify right side
    208,795.01x = 32,646,502,735.42
  5. Step 5: Solve for x
    x = 32,646,502,735.42/208,795.01
  6. Step 6: Final answer
    x = 156,356.72

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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.