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Finding the Fourth Proportional to 142,396.92, 213,597.81 and 117,338.76

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Solution

The fourth proportional to 142,396.92, 213,597.81 and 117,338.76 is: 176,010.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,396.92 : 213,597.81 = 117,338.76 : x
  2. Step 2: Convert to fraction form
    142,396.92/213,597.81 = 117,338.76/x
  3. Step 3: Cross multiply
    142,396.92x = 213,597.81 × 117,338.76
  4. Step 4: Simplify right side
    142,396.92x = 25,063,302,164.12
  5. Step 5: Solve for x
    x = 25,063,302,164.12/142,396.92
  6. Step 6: Final answer
    x = 176,010.14

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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.