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Finding the Fourth Proportional to 137,607.85, 189,900.39 and 76,355.15

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Solution

The fourth proportional to 137,607.85, 189,900.39 and 76,355.15 is: 105,370.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,607.85 : 189,900.39 = 76,355.15 : x
  2. Step 2: Convert to fraction form
    137,607.85/189,900.39 = 76,355.15/x
  3. Step 3: Cross multiply
    137,607.85x = 189,900.39 × 76,355.15
  4. Step 4: Simplify right side
    137,607.85x = 14,499,872,100.34
  5. Step 5: Solve for x
    x = 14,499,872,100.34/137,607.85
  6. Step 6: Final answer
    x = 105,370.97

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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.