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Finding the Fourth Proportional to 142,006.48, 195,969.72 and 78,344.32

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Solution

The fourth proportional to 142,006.48, 195,969.72 and 78,344.32 is: 108,115.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,006.48 : 195,969.72 = 78,344.32 : x
  2. Step 2: Convert to fraction form
    142,006.48/195,969.72 = 78,344.32/x
  3. Step 3: Cross multiply
    142,006.48x = 195,969.72 × 78,344.32
  4. Step 4: Simplify right side
    142,006.48x = 15,353,114,453.99
  5. Step 5: Solve for x
    x = 15,353,114,453.99/142,006.48
  6. Step 6: Final answer
    x = 108,115.59

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1.5x scale

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.