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Finding the Fourth Proportional to 142,482.40, 196,627.44 and 78,818.56

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Solution

The fourth proportional to 142,482.40, 196,627.44 and 78,818.56 is: 108,770.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,482.40 : 196,627.44 = 78,818.56 : x
  2. Step 2: Convert to fraction form
    142,482.40/196,627.44 = 78,818.56/x
  3. Step 3: Cross multiply
    142,482.40x = 196,627.44 × 78,818.56
  4. Step 4: Simplify right side
    142,482.40x = 15,497,891,677.29
  5. Step 5: Solve for x
    x = 15,497,891,677.29/142,482.40
  6. Step 6: Final answer
    x = 108,770.57

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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.