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Finding the Fourth Proportional to 56,751.64, 85,133.22 and 21,720.76

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Solution

The fourth proportional to 56,751.64, 85,133.22 and 21,720.76 is: 32,583.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,751.64 : 85,133.22 = 21,720.76 : x
  2. Step 2: Convert to fraction form
    56,751.64/85,133.22 = 21,720.76/x
  3. Step 3: Cross multiply
    56,751.64x = 85,133.22 × 21,720.76
  4. Step 4: Simplify right side
    56,751.64x = 1,849,158,239.65
  5. Step 5: Solve for x
    x = 1,849,158,239.65/56,751.64
  6. Step 6: Final answer
    x = 32,583.34

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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.