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Finding the Fourth Proportional to 40,857, 61,283.81 and 14,209.02

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Solution

The fourth proportional to 40,857, 61,283.81 and 14,209.02 is: 21,312.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,857 : 61,283.81 = 14,209.02 : x
  2. Step 2: Convert to fraction form
    40,857/61,283.81 = 14,209.02/x
  3. Step 3: Cross multiply
    40,857x = 61,283.81 × 14,209.02
  4. Step 4: Simplify right side
    40,857x = 870,782,810.92
  5. Step 5: Solve for x
    x = 870,782,810.92/40,857
  6. Step 6: Final answer
    x = 21,312.94

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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.