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Finding the Fourth Proportional to 101,921.74, 140,647.26 and 56,602.60

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Solution

The fourth proportional to 101,921.74, 140,647.26 and 56,602.60 is: 78,108.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,921.74 : 140,647.26 = 56,602.60 : x
  2. Step 2: Convert to fraction form
    101,921.74/140,647.26 = 56,602.60/x
  3. Step 3: Cross multiply
    101,921.74x = 140,647.26 × 56,602.60
  4. Step 4: Simplify right side
    101,921.74x = 7,961,000,598.88
  5. Step 5: Solve for x
    x = 7,961,000,598.88/101,921.74
  6. Step 6: Final answer
    x = 78,108.95

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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.