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Finding the Fourth Proportional to 142,378.06, 196,473.87 and 78,712.06

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Solution

The fourth proportional to 142,378.06, 196,473.87 and 78,712.06 is: 108,618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,378.06 : 196,473.87 = 78,712.06 : x
  2. Step 2: Convert to fraction form
    142,378.06/196,473.87 = 78,712.06/x
  3. Step 3: Cross multiply
    142,378.06x = 196,473.87 × 78,712.06
  4. Step 4: Simplify right side
    142,378.06x = 15,464,863,043.87
  5. Step 5: Solve for x
    x = 15,464,863,043.87/142,378.06
  6. Step 6: Final answer
    x = 108,618.30

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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.