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Finding the Fourth Proportional to 189,778.45, 261,724.64 and 157,461.90

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Solution

The fourth proportional to 189,778.45, 261,724.64 and 157,461.90 is: 217,156.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,778.45 : 261,724.64 = 157,461.90 : x
  2. Step 2: Convert to fraction form
    189,778.45/261,724.64 = 157,461.90/x
  3. Step 3: Cross multiply
    189,778.45x = 261,724.64 × 157,461.90
  4. Step 4: Simplify right side
    189,778.45x = 41,211,658,303.91
  5. Step 5: Solve for x
    x = 41,211,658,303.91/189,778.45
  6. Step 6: Final answer
    x = 217,156.68

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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.