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Finding the Fourth Proportional to 72,377.84, 108,406.36 and 55,614.48

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Solution

The fourth proportional to 72,377.84, 108,406.36 and 55,614.48 is: 83,298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,377.84 : 108,406.36 = 55,614.48 : x
  2. Step 2: Convert to fraction form
    72,377.84/108,406.36 = 55,614.48/x
  3. Step 3: Cross multiply
    72,377.84x = 108,406.36 × 55,614.48
  4. Step 4: Simplify right side
    72,377.84x = 6,028,963,340.09
  5. Step 5: Solve for x
    x = 6,028,963,340.09/72,377.84
  6. Step 6: Final answer
    x = 83,298.47

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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.