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Finding the Fourth Proportional to 52,290.98, 78,428.21 and 22,700.87

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Solution

The fourth proportional to 52,290.98, 78,428.21 and 22,700.87 is: 34,047.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,290.98 : 78,428.21 = 22,700.87 : x
  2. Step 2: Convert to fraction form
    52,290.98/78,428.21 = 22,700.87/x
  3. Step 3: Cross multiply
    52,290.98x = 78,428.21 × 22,700.87
  4. Step 4: Simplify right side
    52,290.98x = 1,780,388,093.90
  5. Step 5: Solve for x
    x = 1,780,388,093.90/52,290.98
  6. Step 6: Final answer
    x = 34,047.71

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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.