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Finding the Fourth Proportional to 117,428.77, 162,034.47 and 65,743.19

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Solution

The fourth proportional to 117,428.77, 162,034.47 and 65,743.19 is: 90,715.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,428.77 : 162,034.47 = 65,743.19 : x
  2. Step 2: Convert to fraction form
    117,428.77/162,034.47 = 65,743.19/x
  3. Step 3: Cross multiply
    117,428.77x = 162,034.47 × 65,743.19
  4. Step 4: Simplify right side
    117,428.77x = 10,652,663,352.85
  5. Step 5: Solve for x
    x = 10,652,663,352.85/117,428.77
  6. Step 6: Final answer
    x = 90,715.96

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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.