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Finding the Fourth Proportional to 247,904.58, 342,101.22 and 140,509.32

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Solution

The fourth proportional to 247,904.58, 342,101.22 and 140,509.32 is: 193,898.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,904.58 : 342,101.22 = 140,509.32 : x
  2. Step 2: Convert to fraction form
    247,904.58/342,101.22 = 140,509.32/x
  3. Step 3: Cross multiply
    247,904.58x = 342,101.22 × 140,509.32
  4. Step 4: Simplify right side
    247,904.58x = 48,068,409,793.37
  5. Step 5: Solve for x
    x = 48,068,409,793.37/247,904.58
  6. Step 6: Final answer
    x = 193,898.84

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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.