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Finding the Fourth Proportional to 52,357.14, 78,489.23 and 19,071

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Solution

The fourth proportional to 52,357.14, 78,489.23 and 19,071 is: 28,589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,357.14 : 78,489.23 = 19,071 : x
  2. Step 2: Convert to fraction form
    52,357.14/78,489.23 = 19,071/x
  3. Step 3: Cross multiply
    52,357.14x = 78,489.23 × 19,071
  4. Step 4: Simplify right side
    52,357.14x = 1,496,868,009.98
  5. Step 5: Solve for x
    x = 1,496,868,009.98/52,357.14
  6. Step 6: Final answer
    x = 28,589.57

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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.