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Finding the Fourth Proportional to 101,812.71, 140,518.40 and 56,505.25

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Solution

The fourth proportional to 101,812.71, 140,518.40 and 56,505.25 is: 77,986.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,812.71 : 140,518.40 = 56,505.25 : x
  2. Step 2: Convert to fraction form
    101,812.71/140,518.40 = 56,505.25/x
  3. Step 3: Cross multiply
    101,812.71x = 140,518.40 × 56,505.25
  4. Step 4: Simplify right side
    101,812.71x = 7,940,027,321.60
  5. Step 5: Solve for x
    x = 7,940,027,321.60/101,812.71
  6. Step 6: Final answer
    x = 77,986.60

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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.