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Finding the Fourth Proportional to 154,508.40, 231,762.60 and 137,595.60

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Solution

The fourth proportional to 154,508.40, 231,762.60 and 137,595.60 is: 206,393.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,508.40 : 231,762.60 = 137,595.60 : x
  2. Step 2: Convert to fraction form
    154,508.40/231,762.60 = 137,595.60/x
  3. Step 3: Cross multiply
    154,508.40x = 231,762.60 × 137,595.60
  4. Step 4: Simplify right side
    154,508.40x = 31,889,514,004.56
  5. Step 5: Solve for x
    x = 31,889,514,004.56/154,508.40
  6. Step 6: Final answer
    x = 206,393.40

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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.