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Finding the Fourth Proportional to 101,864.56, 140,566.56 and 56,542.60

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Solution

The fourth proportional to 101,864.56, 140,566.56 and 56,542.60 is: 78,025.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,864.56 : 140,566.56 = 56,542.60 : x
  2. Step 2: Convert to fraction form
    101,864.56/140,566.56 = 56,542.60/x
  3. Step 3: Cross multiply
    101,864.56x = 140,566.56 × 56,542.60
  4. Step 4: Simplify right side
    101,864.56x = 7,947,998,775.46
  5. Step 5: Solve for x
    x = 7,947,998,775.46/101,864.56
  6. Step 6: Final answer
    x = 78,025.16

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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.