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Finding the Fourth Proportional to 203,312.70, 280,670.67 and 135,369.90

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Solution

The fourth proportional to 203,312.70, 280,670.67 and 135,369.90 is: 186,876.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,312.70 : 280,670.67 = 135,369.90 : x
  2. Step 2: Convert to fraction form
    203,312.70/280,670.67 = 135,369.90/x
  3. Step 3: Cross multiply
    203,312.70x = 280,670.67 × 135,369.90
  4. Step 4: Simplify right side
    203,312.70x = 37,994,360,530.83
  5. Step 5: Solve for x
    x = 37,994,360,530.83/203,312.70
  6. Step 6: Final answer
    x = 186,876.47

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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.