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Finding the Fourth Proportional to 137,898.57, 206,729.38 and 47,929.60

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Solution

The fourth proportional to 137,898.57, 206,729.38 and 47,929.60 is: 71,853.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,898.57 : 206,729.38 = 47,929.60 : x
  2. Step 2: Convert to fraction form
    137,898.57/206,729.38 = 47,929.60/x
  3. Step 3: Cross multiply
    137,898.57x = 206,729.38 × 47,929.60
  4. Step 4: Simplify right side
    137,898.57x = 9,908,455,855.00
  5. Step 5: Solve for x
    x = 9,908,455,855.00/137,898.57
  6. Step 6: Final answer
    x = 71,853.22

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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.