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Finding the Fourth Proportional to 137,416.21, 189,629.79 and 76,159.79

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Solution

The fourth proportional to 137,416.21, 189,629.79 and 76,159.79 is: 105,097.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,416.21 : 189,629.79 = 76,159.79 : x
  2. Step 2: Convert to fraction form
    137,416.21/189,629.79 = 76,159.79/x
  3. Step 3: Cross multiply
    137,416.21x = 189,629.79 × 76,159.79
  4. Step 4: Simplify right side
    137,416.21x = 14,442,165,315.42
  5. Step 5: Solve for x
    x = 14,442,165,315.42/137,416.21
  6. Step 6: Final answer
    x = 105,097.97

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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.