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Finding the Fourth Proportional to 56,372.64, 77,784.76 and 33,720.88

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Solution

The fourth proportional to 56,372.64, 77,784.76 and 33,720.88 is: 46,529.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,372.64 : 77,784.76 = 33,720.88 : x
  2. Step 2: Convert to fraction form
    56,372.64/77,784.76 = 33,720.88/x
  3. Step 3: Cross multiply
    56,372.64x = 77,784.76 × 33,720.88
  4. Step 4: Simplify right side
    56,372.64x = 2,622,970,557.79
  5. Step 5: Solve for x
    x = 2,622,970,557.79/56,372.64
  6. Step 6: Final answer
    x = 46,529.14

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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.