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Finding the Fourth Proportional to 77,396.87, 106,812.35 and 43,407.37

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Solution

The fourth proportional to 77,396.87, 106,812.35 and 43,407.37 is: 59,904.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,396.87 : 106,812.35 = 43,407.37 : x
  2. Step 2: Convert to fraction form
    77,396.87/106,812.35 = 43,407.37/x
  3. Step 3: Cross multiply
    77,396.87x = 106,812.35 × 43,407.37
  4. Step 4: Simplify right side
    77,396.87x = 4,636,442,712.95
  5. Step 5: Solve for x
    x = 4,636,442,712.95/77,396.87
  6. Step 6: Final answer
    x = 59,904.78

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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.