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Finding the Fourth Proportional to 77,402.92, 106,817.20 and 43,418.94

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Solution

The fourth proportional to 77,402.92, 106,817.20 and 43,418.94 is: 59,918.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,402.92 : 106,817.20 = 43,418.94 : x
  2. Step 2: Convert to fraction form
    77,402.92/106,817.20 = 43,418.94/x
  3. Step 3: Cross multiply
    77,402.92x = 106,817.20 × 43,418.94
  4. Step 4: Simplify right side
    77,402.92x = 4,637,889,597.77
  5. Step 5: Solve for x
    x = 4,637,889,597.77/77,402.92
  6. Step 6: Final answer
    x = 59,918.79

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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.