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Finding the Fourth Proportional to 137,951.72, 190,390.92 and 84,225.20

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Solution

The fourth proportional to 137,951.72, 190,390.92 and 84,225.20 is: 116,241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,951.72 : 190,390.92 = 84,225.20 : x
  2. Step 2: Convert to fraction form
    137,951.72/190,390.92 = 84,225.20/x
  3. Step 3: Cross multiply
    137,951.72x = 190,390.92 × 84,225.20
  4. Step 4: Simplify right side
    137,951.72x = 16,035,713,315.18
  5. Step 5: Solve for x
    x = 16,035,713,315.18/137,951.72
  6. Step 6: Final answer
    x = 116,241.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.