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Finding the Fourth Proportional to 77,338.49, 106,731.32 and 43,357.93

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Solution

The fourth proportional to 77,338.49, 106,731.32 and 43,357.93 is: 59,836.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,338.49 : 106,731.32 = 43,357.93 : x
  2. Step 2: Convert to fraction form
    77,338.49/106,731.32 = 43,357.93/x
  3. Step 3: Cross multiply
    77,338.49x = 106,731.32 × 43,357.93
  4. Step 4: Simplify right side
    77,338.49x = 4,627,648,617.75
  5. Step 5: Solve for x
    x = 4,627,648,617.75/77,338.49
  6. Step 6: Final answer
    x = 59,836.30

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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.