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Finding the Fourth Proportional to 78,159.90, 117,396.78 and 46,631.56

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Solution

The fourth proportional to 78,159.90, 117,396.78 and 46,631.56 is: 70,040.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,159.90 : 117,396.78 = 46,631.56 : x
  2. Step 2: Convert to fraction form
    78,159.90/117,396.78 = 46,631.56/x
  3. Step 3: Cross multiply
    78,159.90x = 117,396.78 × 46,631.56
  4. Step 4: Simplify right side
    78,159.90x = 5,474,394,990.38
  5. Step 5: Solve for x
    x = 5,474,394,990.38/78,159.90
  6. Step 6: Final answer
    x = 70,040.97

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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.