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Finding the Fourth Proportional to 101,832.60, 140,529.78 and 56,513.64

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Solution

The fourth proportional to 101,832.60, 140,529.78 and 56,513.64 is: 77,989.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,832.60 : 140,529.78 = 56,513.64 : x
  2. Step 2: Convert to fraction form
    101,832.60/140,529.78 = 56,513.64/x
  3. Step 3: Cross multiply
    101,832.60x = 140,529.78 × 56,513.64
  4. Step 4: Simplify right side
    101,832.60x = 7,941,849,396.20
  5. Step 5: Solve for x
    x = 7,941,849,396.20/101,832.60
  6. Step 6: Final answer
    x = 77,989.26

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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.