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Finding the Fourth Proportional to 131,778.86, 197,461.31 and 101,866.41

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Solution

The fourth proportional to 131,778.86, 197,461.31 and 101,866.41 is: 152,639.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,778.86 : 197,461.31 = 101,866.41 : x
  2. Step 2: Convert to fraction form
    131,778.86/197,461.31 = 101,866.41/x
  3. Step 3: Cross multiply
    131,778.86x = 197,461.31 × 101,866.41
  4. Step 4: Simplify right side
    131,778.86x = 20,114,674,254.27
  5. Step 5: Solve for x
    x = 20,114,674,254.27/131,778.86
  6. Step 6: Final answer
    x = 152,639.62

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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.