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Finding the Fourth Proportional to 76,134, 114,246 and 42,428.16

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Solution

The fourth proportional to 76,134, 114,246 and 42,428.16 is: 63,667.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,134 : 114,246 = 42,428.16 : x
  2. Step 2: Convert to fraction form
    76,134/114,246 = 42,428.16/x
  3. Step 3: Cross multiply
    76,134x = 114,246 × 42,428.16
  4. Step 4: Simplify right side
    76,134x = 4,847,247,567.36
  5. Step 5: Solve for x
    x = 4,847,247,567.36/76,134
  6. Step 6: Final answer
    x = 63,667.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.