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Finding the Fourth Proportional to 101,730.98, 140,388.06 and 56,408.94

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Solution

The fourth proportional to 101,730.98, 140,388.06 and 56,408.94 is: 77,843.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,730.98 : 140,388.06 = 56,408.94 : x
  2. Step 2: Convert to fraction form
    101,730.98/140,388.06 = 56,408.94/x
  3. Step 3: Cross multiply
    101,730.98x = 140,388.06 × 56,408.94
  4. Step 4: Simplify right side
    101,730.98x = 7,919,141,653.26
  5. Step 5: Solve for x
    x = 7,919,141,653.26/101,730.98
  6. Step 6: Final answer
    x = 77,843.95

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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.