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Finding the Fourth Proportional to 101,970.26, 140,718.83 and 56,652.42

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Solution

The fourth proportional to 101,970.26, 140,718.83 and 56,652.42 is: 78,180.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,970.26 : 140,718.83 = 56,652.42 : x
  2. Step 2: Convert to fraction form
    101,970.26/140,718.83 = 56,652.42/x
  3. Step 3: Cross multiply
    101,970.26x = 140,718.83 × 56,652.42
  4. Step 4: Simplify right side
    101,970.26x = 7,972,061,975.81
  5. Step 5: Solve for x
    x = 7,972,061,975.81/101,970.26
  6. Step 6: Final answer
    x = 78,180.27

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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.