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Finding the Fourth Proportional to 162,181.64, 243,295.74 and 49,871.30

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Solution

The fourth proportional to 162,181.64, 243,295.74 and 49,871.30 is: 74,814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,181.64 : 243,295.74 = 49,871.30 : x
  2. Step 2: Convert to fraction form
    162,181.64/243,295.74 = 49,871.30/x
  3. Step 3: Cross multiply
    162,181.64x = 243,295.74 × 49,871.30
  4. Step 4: Simplify right side
    162,181.64x = 12,133,474,838.26
  5. Step 5: Solve for x
    x = 12,133,474,838.26/162,181.64
  6. Step 6: Final answer
    x = 74,814.11

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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.