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Finding the Fourth Proportional to 137,596.32, 189,879.84 and 76,342.56

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Solution

The fourth proportional to 137,596.32, 189,879.84 and 76,342.56 is: 105,351.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,596.32 : 189,879.84 = 76,342.56 : x
  2. Step 2: Convert to fraction form
    137,596.32/189,879.84 = 76,342.56/x
  3. Step 3: Cross multiply
    137,596.32x = 189,879.84 × 76,342.56
  4. Step 4: Simplify right side
    137,596.32x = 14,495,913,077.99
  5. Step 5: Solve for x
    x = 14,495,913,077.99/137,596.32
  6. Step 6: Final answer
    x = 105,351.02

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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.