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Finding the Fourth Proportional to 162,784, 245,285.22 and 133,850

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Solution

The fourth proportional to 162,784, 245,285.22 and 133,850 is: 201,687.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,784 : 245,285.22 = 133,850 : x
  2. Step 2: Convert to fraction form
    162,784/245,285.22 = 133,850/x
  3. Step 3: Cross multiply
    162,784x = 245,285.22 × 133,850
  4. Step 4: Simplify right side
    162,784x = 32,831,426,697
  5. Step 5: Solve for x
    x = 32,831,426,697/162,784
  6. Step 6: Final answer
    x = 201,687.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.