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Finding the Fourth Proportional to 137,134.24, 189,262.78 and 76,708.24

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Solution

The fourth proportional to 137,134.24, 189,262.78 and 76,708.24 is: 105,867.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,134.24 : 189,262.78 = 76,708.24 : x
  2. Step 2: Convert to fraction form
    137,134.24/189,262.78 = 76,708.24/x
  3. Step 3: Cross multiply
    137,134.24x = 189,262.78 × 76,708.24
  4. Step 4: Simplify right side
    137,134.24x = 14,518,014,751.31
  5. Step 5: Solve for x
    x = 14,518,014,751.31/137,134.24
  6. Step 6: Final answer
    x = 105,867.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.