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Finding the Fourth Proportional to 78,830.24, 108,600.90 and 54,913.64

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Solution

The fourth proportional to 78,830.24, 108,600.90 and 54,913.64 is: 75,652.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,830.24 : 108,600.90 = 54,913.64 : x
  2. Step 2: Convert to fraction form
    78,830.24/108,600.90 = 54,913.64/x
  3. Step 3: Cross multiply
    78,830.24x = 108,600.90 × 54,913.64
  4. Step 4: Simplify right side
    78,830.24x = 5,963,670,726.28
  5. Step 5: Solve for x
    x = 5,963,670,726.28/78,830.24
  6. Step 6: Final answer
    x = 75,652.07

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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.