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Finding the Fourth Proportional to 142,235.49, 196,268.26 and 78,569.49

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Solution

The fourth proportional to 142,235.49, 196,268.26 and 78,569.49 is: 108,416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,235.49 : 196,268.26 = 78,569.49 : x
  2. Step 2: Convert to fraction form
    142,235.49/196,268.26 = 78,569.49/x
  3. Step 3: Cross multiply
    142,235.49x = 196,268.26 × 78,569.49
  4. Step 4: Simplify right side
    142,235.49x = 15,420,697,091.39
  5. Step 5: Solve for x
    x = 15,420,697,091.39/142,235.49
  6. Step 6: Final answer
    x = 108,416.66

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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.