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Finding the Fourth Proportional to 52,702.29, 72,728.21 and 28,828.76

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Solution

The fourth proportional to 52,702.29, 72,728.21 and 28,828.76 is: 39,783.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,702.29 : 72,728.21 = 28,828.76 : x
  2. Step 2: Convert to fraction form
    52,702.29/72,728.21 = 28,828.76/x
  3. Step 3: Cross multiply
    52,702.29x = 72,728.21 × 28,828.76
  4. Step 4: Simplify right side
    52,702.29x = 2,096,663,819.75
  5. Step 5: Solve for x
    x = 2,096,663,819.75/52,702.29
  6. Step 6: Final answer
    x = 39,783.16

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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.