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Finding the Fourth Proportional to 162,784.32, 243,739 and 103,297.92

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Solution

The fourth proportional to 162,784.32, 243,739 and 103,297.92 is: 154,669.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,784.32 : 243,739 = 103,297.92 : x
  2. Step 2: Convert to fraction form
    162,784.32/243,739 = 103,297.92/x
  3. Step 3: Cross multiply
    162,784.32x = 243,739 × 103,297.92
  4. Step 4: Simplify right side
    162,784.32x = 25,177,731,722.88
  5. Step 5: Solve for x
    x = 25,177,731,722.88/162,784.32
  6. Step 6: Final answer
    x = 154,669.27

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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.