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Finding the Fourth Proportional to 50,570.87, 75,864.50 and 18,983.40

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Solution

The fourth proportional to 50,570.87, 75,864.50 and 18,983.40 is: 28,478.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,570.87 : 75,864.50 = 18,983.40 : x
  2. Step 2: Convert to fraction form
    50,570.87/75,864.50 = 18,983.40/x
  3. Step 3: Cross multiply
    50,570.87x = 75,864.50 × 18,983.40
  4. Step 4: Simplify right side
    50,570.87x = 1,440,165,841.08
  5. Step 5: Solve for x
    x = 1,440,165,841.08/50,570.87
  6. Step 6: Final answer
    x = 28,478.17

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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.