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Finding the Fourth Proportional to 137,630.18, 206,395.74 and 47,648.45

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Solution

The fourth proportional to 137,630.18, 206,395.74 and 47,648.45 is: 71,455.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,630.18 : 206,395.74 = 47,648.45 : x
  2. Step 2: Convert to fraction form
    137,630.18/206,395.74 = 47,648.45/x
  3. Step 3: Cross multiply
    137,630.18x = 206,395.74 × 47,648.45
  4. Step 4: Simplify right side
    137,630.18x = 9,834,437,097.60
  5. Step 5: Solve for x
    x = 9,834,437,097.60/137,630.18
  6. Step 6: Final answer
    x = 71,455.53

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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.