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Finding the Fourth Proportional to 139,070.96, 191,921.78 and 78,650.68

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Solution

The fourth proportional to 139,070.96, 191,921.78 and 78,650.68 is: 108,540.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,070.96 : 191,921.78 = 78,650.68 : x
  2. Step 2: Convert to fraction form
    139,070.96/191,921.78 = 78,650.68/x
  3. Step 3: Cross multiply
    139,070.96x = 191,921.78 × 78,650.68
  4. Step 4: Simplify right side
    139,070.96x = 15,094,778,503.81
  5. Step 5: Solve for x
    x = 15,094,778,503.81/139,070.96
  6. Step 6: Final answer
    x = 108,540.12

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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.