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Finding the Fourth Proportional to 188,598.78, 260,275.78 and 117,001.86

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Solution

The fourth proportional to 188,598.78, 260,275.78 and 117,001.86 is: 161,468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,598.78 : 260,275.78 = 117,001.86 : x
  2. Step 2: Convert to fraction form
    188,598.78/260,275.78 = 117,001.86/x
  3. Step 3: Cross multiply
    188,598.78x = 260,275.78 × 117,001.86
  4. Step 4: Simplify right side
    188,598.78x = 30,452,750,372.95
  5. Step 5: Solve for x
    x = 30,452,750,372.95/188,598.78
  6. Step 6: Final answer
    x = 161,468.44

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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.