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Finding the Fourth Proportional to 206,077.60, 308,511.60 and 153,719.20

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Solution

The fourth proportional to 206,077.60, 308,511.60 and 153,719.20 is: 230,127.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,077.60 : 308,511.60 = 153,719.20 : x
  2. Step 2: Convert to fraction form
    206,077.60/308,511.60 = 153,719.20/x
  3. Step 3: Cross multiply
    206,077.60x = 308,511.60 × 153,719.20
  4. Step 4: Simplify right side
    206,077.60x = 47,424,156,342.72
  5. Step 5: Solve for x
    x = 47,424,156,342.72/206,077.60
  6. Step 6: Final answer
    x = 230,127.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.