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Finding the Fourth Proportional to 52,567.71, 78,861.95 and 19,288.05

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Solution

The fourth proportional to 52,567.71, 78,861.95 and 19,288.05 is: 28,935.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,567.71 : 78,861.95 = 19,288.05 : x
  2. Step 2: Convert to fraction form
    52,567.71/78,861.95 = 19,288.05/x
  3. Step 3: Cross multiply
    52,567.71x = 78,861.95 × 19,288.05
  4. Step 4: Simplify right side
    52,567.71x = 1,521,093,138.26
  5. Step 5: Solve for x
    x = 1,521,093,138.26/52,567.71
  6. Step 6: Final answer
    x = 28,935.88

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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.