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Finding the Fourth Proportional to 52,881, 72,975.78 and 30,525

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Solution

The fourth proportional to 52,881, 72,975.78 and 30,525 is: 42,124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,881 : 72,975.78 = 30,525 : x
  2. Step 2: Convert to fraction form
    52,881/72,975.78 = 30,525/x
  3. Step 3: Cross multiply
    52,881x = 72,975.78 × 30,525
  4. Step 4: Simplify right side
    52,881x = 2,227,585,684.50
  5. Step 5: Solve for x
    x = 2,227,585,684.50/52,881
  6. Step 6: Final answer
    x = 42,124.50

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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.