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Finding the Fourth Proportional to 137,478.45, 206,217.78 and 37,639.47

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Solution

The fourth proportional to 137,478.45, 206,217.78 and 37,639.47 is: 56,459.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,478.45 : 206,217.78 = 37,639.47 : x
  2. Step 2: Convert to fraction form
    137,478.45/206,217.78 = 37,639.47/x
  3. Step 3: Cross multiply
    137,478.45x = 206,217.78 × 37,639.47
  4. Step 4: Simplify right side
    137,478.45x = 7,761,927,755.58
  5. Step 5: Solve for x
    x = 7,761,927,755.58/137,478.45
  6. Step 6: Final answer
    x = 56,459.23

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1.5x scale

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.