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Finding the Fourth Proportional to 56,872.76, 78,484.40 and 31,722.24

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Solution

The fourth proportional to 56,872.76, 78,484.40 and 31,722.24 is: 43,776.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,872.76 : 78,484.40 = 31,722.24 : x
  2. Step 2: Convert to fraction form
    56,872.76/78,484.40 = 31,722.24/x
  3. Step 3: Cross multiply
    56,872.76x = 78,484.40 × 31,722.24
  4. Step 4: Simplify right side
    56,872.76x = 2,489,700,973.06
  5. Step 5: Solve for x
    x = 2,489,700,973.06/56,872.76
  6. Step 6: Final answer
    x = 43,776.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.