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Finding the Fourth Proportional to 126,892.96, 190,328.64 and 51,991.72

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Solution

The fourth proportional to 126,892.96, 190,328.64 and 51,991.72 is: 77,983.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,892.96 : 190,328.64 = 51,991.72 : x
  2. Step 2: Convert to fraction form
    126,892.96/190,328.64 = 51,991.72/x
  3. Step 3: Cross multiply
    126,892.96x = 190,328.64 × 51,991.72
  4. Step 4: Simplify right side
    126,892.96x = 9,895,513,358.86
  5. Step 5: Solve for x
    x = 9,895,513,358.86/126,892.96
  6. Step 6: Final answer
    x = 77,983.15

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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.