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Finding the Fourth Proportional to 52,698.90, 72,724.50 and 28,827.78

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Solution

The fourth proportional to 52,698.90, 72,724.50 and 28,827.78 is: 39,782.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,698.90 : 72,724.50 = 28,827.78 : x
  2. Step 2: Convert to fraction form
    52,698.90/72,724.50 = 28,827.78/x
  3. Step 3: Cross multiply
    52,698.90x = 72,724.50 × 28,827.78
  4. Step 4: Simplify right side
    52,698.90x = 2,096,485,886.61
  5. Step 5: Solve for x
    x = 2,096,485,886.61/52,698.90
  6. Step 6: Final answer
    x = 39,782.35

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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.