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Finding the Fourth Proportional to 52,274.40, 78,411.52 and 28,950

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Solution

The fourth proportional to 52,274.40, 78,411.52 and 28,950 is: 43,424.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,274.40 : 78,411.52 = 28,950 : x
  2. Step 2: Convert to fraction form
    52,274.40/78,411.52 = 28,950/x
  3. Step 3: Cross multiply
    52,274.40x = 78,411.52 × 28,950
  4. Step 4: Simplify right side
    52,274.40x = 2,270,013,504
  5. Step 5: Solve for x
    x = 2,270,013,504/52,274.40
  6. Step 6: Final answer
    x = 43,424.96

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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.