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Finding the Fourth Proportional to 137,846.40, 206,742 and 37,980.96

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Solution

The fourth proportional to 137,846.40, 206,742 and 37,980.96 is: 56,963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,846.40 : 206,742 = 37,980.96 : x
  2. Step 2: Convert to fraction form
    137,846.40/206,742 = 37,980.96/x
  3. Step 3: Cross multiply
    137,846.40x = 206,742 × 37,980.96
  4. Step 4: Simplify right side
    137,846.40x = 7,852,259,632.32
  5. Step 5: Solve for x
    x = 7,852,259,632.32/137,846.40
  6. Step 6: Final answer
    x = 56,963.84

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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.