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Finding the Fourth Proportional to 52,702.24, 72,727.54 and 28,828.40

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Solution

The fourth proportional to 52,702.24, 72,727.54 and 28,828.40 is: 39,782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,702.24 : 72,727.54 = 28,828.40 : x
  2. Step 2: Convert to fraction form
    52,702.24/72,727.54 = 28,828.40/x
  3. Step 3: Cross multiply
    52,702.24x = 72,727.54 × 28,828.40
  4. Step 4: Simplify right side
    52,702.24x = 2,096,618,614.14
  5. Step 5: Solve for x
    x = 2,096,618,614.14/52,702.24
  6. Step 6: Final answer
    x = 39,782.34

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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.