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Finding the Fourth Proportional to 137,410.92, 189,625.32 and 76,980.47

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Solution

The fourth proportional to 137,410.92, 189,625.32 and 76,980.47 is: 106,232.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,410.92 : 189,625.32 = 76,980.47 : x
  2. Step 2: Convert to fraction form
    137,410.92/189,625.32 = 76,980.47/x
  3. Step 3: Cross multiply
    137,410.92x = 189,625.32 × 76,980.47
  4. Step 4: Simplify right side
    137,410.92x = 14,597,445,309.37
  5. Step 5: Solve for x
    x = 14,597,445,309.37/137,410.92
  6. Step 6: Final answer
    x = 106,232.06

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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.