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Finding the Fourth Proportional to 143,357.78, 197,838.05 and 78,823.68

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Solution

The fourth proportional to 143,357.78, 197,838.05 and 78,823.68 is: 108,779.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,357.78 : 197,838.05 = 78,823.68 : x
  2. Step 2: Convert to fraction form
    143,357.78/197,838.05 = 78,823.68/x
  3. Step 3: Cross multiply
    143,357.78x = 197,838.05 × 78,823.68
  4. Step 4: Simplify right side
    143,357.78x = 15,594,323,121.85
  5. Step 5: Solve for x
    x = 15,594,323,121.85/143,357.78
  6. Step 6: Final answer
    x = 108,779.05

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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.