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Finding the Fourth Proportional to 113,829.80, 157,105.68 and 67,892.38

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Solution

The fourth proportional to 113,829.80, 157,105.68 and 67,892.38 is: 93,703.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,829.80 : 157,105.68 = 67,892.38 : x
  2. Step 2: Convert to fraction form
    113,829.80/157,105.68 = 67,892.38/x
  3. Step 3: Cross multiply
    113,829.80x = 157,105.68 × 67,892.38
  4. Step 4: Simplify right side
    113,829.80x = 10,666,278,526.72
  5. Step 5: Solve for x
    x = 10,666,278,526.72/113,829.80
  6. Step 6: Final answer
    x = 93,703.74

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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.