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Finding the Fourth Proportional to 56,851.68, 85,278.06 and 21,783

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Solution

The fourth proportional to 56,851.68, 85,278.06 and 21,783 is: 32,674.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,851.68 : 85,278.06 = 21,783 : x
  2. Step 2: Convert to fraction form
    56,851.68/85,278.06 = 21,783/x
  3. Step 3: Cross multiply
    56,851.68x = 85,278.06 × 21,783
  4. Step 4: Simplify right side
    56,851.68x = 1,857,611,980.98
  5. Step 5: Solve for x
    x = 1,857,611,980.98/56,851.68
  6. Step 6: Final answer
    x = 32,674.71

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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.