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Finding the Fourth Proportional to 117,869.68, 162,249.28 and 102,736

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Solution

The fourth proportional to 117,869.68, 162,249.28 and 102,736 is: 141,417.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,869.68 : 162,249.28 = 102,736 : x
  2. Step 2: Convert to fraction form
    117,869.68/162,249.28 = 102,736/x
  3. Step 3: Cross multiply
    117,869.68x = 162,249.28 × 102,736
  4. Step 4: Simplify right side
    117,869.68x = 16,668,842,030.08
  5. Step 5: Solve for x
    x = 16,668,842,030.08/117,869.68
  6. Step 6: Final answer
    x = 141,417.56

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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.