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Finding the Fourth Proportional to 52,772.40, 72,824.92 and 28,898.64

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Solution

The fourth proportional to 52,772.40, 72,824.92 and 28,898.64 is: 39,879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,772.40 : 72,824.92 = 28,898.64 : x
  2. Step 2: Convert to fraction form
    52,772.40/72,824.92 = 28,898.64/x
  3. Step 3: Cross multiply
    52,772.40x = 72,824.92 × 28,898.64
  4. Step 4: Simplify right side
    52,772.40x = 2,104,541,146.11
  5. Step 5: Solve for x
    x = 2,104,541,146.11/52,772.40
  6. Step 6: Final answer
    x = 39,879.58

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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.