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Finding the Fourth Proportional to 101,782.66, 140,476.90 and 56,475.22

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Solution

The fourth proportional to 101,782.66, 140,476.90 and 56,475.22 is: 77,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,782.66 : 140,476.90 = 56,475.22 : x
  2. Step 2: Convert to fraction form
    101,782.66/140,476.90 = 56,475.22/x
  3. Step 3: Cross multiply
    101,782.66x = 140,476.90 × 56,475.22
  4. Step 4: Simplify right side
    101,782.66x = 7,933,463,832.42
  5. Step 5: Solve for x
    x = 7,933,463,832.42/101,782.66
  6. Step 6: Final answer
    x = 77,945.14

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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.