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Finding the Fourth Proportional to 198,671.86, 298,007.71 and 58,430.49

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Solution

The fourth proportional to 198,671.86, 298,007.71 and 58,430.49 is: 87,645.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,671.86 : 298,007.71 = 58,430.49 : x
  2. Step 2: Convert to fraction form
    198,671.86/298,007.71 = 58,430.49/x
  3. Step 3: Cross multiply
    198,671.86x = 298,007.71 × 58,430.49
  4. Step 4: Simplify right side
    198,671.86x = 17,412,736,519.08
  5. Step 5: Solve for x
    x = 17,412,736,519.08/198,671.86
  6. Step 6: Final answer
    x = 87,645.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.