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Finding the Fourth Proportional to 100,992, 139,371.84 and 56,282.88

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Solution

The fourth proportional to 100,992, 139,371.84 and 56,282.88 is: 77,671.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,992 : 139,371.84 = 56,282.88 : x
  2. Step 2: Convert to fraction form
    100,992/139,371.84 = 56,282.88/x
  3. Step 3: Cross multiply
    100,992x = 139,371.84 × 56,282.88
  4. Step 4: Simplify right side
    100,992x = 7,844,248,546.10
  5. Step 5: Solve for x
    x = 7,844,248,546.10/100,992
  6. Step 6: Final answer
    x = 77,671.98

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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.