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Finding the Fourth Proportional to 52,578, 72,564 and 29,922.50

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Solution

The fourth proportional to 52,578, 72,564 and 29,922.50 is: 41,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,578 : 72,564 = 29,922.50 : x
  2. Step 2: Convert to fraction form
    52,578/72,564 = 29,922.50/x
  3. Step 3: Cross multiply
    52,578x = 72,564 × 29,922.50
  4. Step 4: Simplify right side
    52,578x = 2,171,295,927.18
  5. Step 5: Solve for x
    x = 2,171,295,927.18/52,578
  6. Step 6: Final answer
    x = 41,296.66

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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.