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Finding the Fourth Proportional to 101,131, 139,560.84 and 56,419

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Solution

The fourth proportional to 101,131, 139,560.84 and 56,419 is: 77,858.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,131 : 139,560.84 = 56,419 : x
  2. Step 2: Convert to fraction form
    101,131/139,560.84 = 56,419/x
  3. Step 3: Cross multiply
    101,131x = 139,560.84 × 56,419
  4. Step 4: Simplify right side
    101,131x = 7,873,883,031.96
  5. Step 5: Solve for x
    x = 7,873,883,031.96/101,131
  6. Step 6: Final answer
    x = 77,858.25

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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.