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Finding the Fourth Proportional to 142,371.70, 196,464.52 and 78,705.70

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Solution

The fourth proportional to 142,371.70, 196,464.52 and 78,705.70 is: 108,609.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,371.70 : 196,464.52 = 78,705.70 : x
  2. Step 2: Convert to fraction form
    142,371.70/196,464.52 = 78,705.70/x
  3. Step 3: Cross multiply
    142,371.70x = 196,464.52 × 78,705.70
  4. Step 4: Simplify right side
    142,371.70x = 15,462,877,571.76
  5. Step 5: Solve for x
    x = 15,462,877,571.76/142,371.70
  6. Step 6: Final answer
    x = 108,609.21

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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.