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Finding the Fourth Proportional to 137,820.66, 190,187.70 and 84,195.42

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Solution

The fourth proportional to 137,820.66, 190,187.70 and 84,195.42 is: 116,186.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,820.66 : 190,187.70 = 84,195.42 : x
  2. Step 2: Convert to fraction form
    137,820.66/190,187.70 = 84,195.42/x
  3. Step 3: Cross multiply
    137,820.66x = 190,187.70 × 84,195.42
  4. Step 4: Simplify right side
    137,820.66x = 16,012,933,280.33
  5. Step 5: Solve for x
    x = 16,012,933,280.33/137,820.66
  6. Step 6: Final answer
    x = 116,186.74

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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.