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Finding the Fourth Proportional to 52,569, 78,849 and 19,287.72

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Solution

The fourth proportional to 52,569, 78,849 and 19,287.72 is: 28,929.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,569 : 78,849 = 19,287.72 : x
  2. Step 2: Convert to fraction form
    52,569/78,849 = 19,287.72/x
  3. Step 3: Cross multiply
    52,569x = 78,849 × 19,287.72
  4. Step 4: Simplify right side
    52,569x = 1,520,817,434.28
  5. Step 5: Solve for x
    x = 1,520,817,434.28/52,569
  6. Step 6: Final answer
    x = 28,929.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.