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Finding the Fourth Proportional to 52,728.90, 72,710.64 and 34,800.36

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Solution

The fourth proportional to 52,728.90, 72,710.64 and 34,800.36 is: 47,988.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,728.90 : 72,710.64 = 34,800.36 : x
  2. Step 2: Convert to fraction form
    52,728.90/72,710.64 = 34,800.36/x
  3. Step 3: Cross multiply
    52,728.90x = 72,710.64 × 34,800.36
  4. Step 4: Simplify right side
    52,728.90x = 2,530,356,447.83
  5. Step 5: Solve for x
    x = 2,530,356,447.83/52,728.90
  6. Step 6: Final answer
    x = 47,988.04

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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.