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Finding the Fourth Proportional to 143,097.76, 197,474.12 and 78,568.16

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Solution

The fourth proportional to 143,097.76, 197,474.12 and 78,568.16 is: 108,423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,097.76 : 197,474.12 = 78,568.16 : x
  2. Step 2: Convert to fraction form
    143,097.76/197,474.12 = 78,568.16/x
  3. Step 3: Cross multiply
    143,097.76x = 197,474.12 × 78,568.16
  4. Step 4: Simplify right side
    143,097.76x = 15,515,178,256.02
  5. Step 5: Solve for x
    x = 15,515,178,256.02/143,097.76
  6. Step 6: Final answer
    x = 108,423.63

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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.