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Finding the Fourth Proportional to 52,563, 78,856.02 and 19,731

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Solution

The fourth proportional to 52,563, 78,856.02 and 19,731 is: 29,600.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,563 : 78,856.02 = 19,731 : x
  2. Step 2: Convert to fraction form
    52,563/78,856.02 = 19,731/x
  3. Step 3: Cross multiply
    52,563x = 78,856.02 × 19,731
  4. Step 4: Simplify right side
    52,563x = 1,555,908,130.62
  5. Step 5: Solve for x
    x = 1,555,908,130.62/52,563
  6. Step 6: Final answer
    x = 29,600.82

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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.