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Finding the Fourth Proportional to 137,980.56, 190,398.84 and 84,278.64

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Solution

The fourth proportional to 137,980.56, 190,398.84 and 84,278.64 is: 116,295.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,980.56 : 190,398.84 = 84,278.64 : x
  2. Step 2: Convert to fraction form
    137,980.56/190,398.84 = 84,278.64/x
  3. Step 3: Cross multiply
    137,980.56x = 190,398.84 × 84,278.64
  4. Step 4: Simplify right side
    137,980.56x = 16,046,555,292.78
  5. Step 5: Solve for x
    x = 16,046,555,292.78/137,980.56
  6. Step 6: Final answer
    x = 116,295.77

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1.5x scale

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.