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Finding the Fourth Proportional to 142,015.64, 195,982.22 and 78,355.31

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Solution

The fourth proportional to 142,015.64, 195,982.22 and 78,355.31 is: 108,130.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,015.64 : 195,982.22 = 78,355.31 : x
  2. Step 2: Convert to fraction form
    142,015.64/195,982.22 = 78,355.31/x
  3. Step 3: Cross multiply
    142,015.64x = 195,982.22 × 78,355.31
  4. Step 4: Simplify right side
    142,015.64x = 15,356,247,210.81
  5. Step 5: Solve for x
    x = 15,356,247,210.81/142,015.64
  6. Step 6: Final answer
    x = 108,130.68

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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.