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Finding the Fourth Proportional to 189,573.67, 261,612.93 and 103,530.43

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Solution

The fourth proportional to 189,573.67, 261,612.93 and 103,530.43 is: 142,872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,573.67 : 261,612.93 = 103,530.43 : x
  2. Step 2: Convert to fraction form
    189,573.67/261,612.93 = 103,530.43/x
  3. Step 3: Cross multiply
    189,573.67x = 261,612.93 × 103,530.43
  4. Step 4: Simplify right side
    189,573.67x = 27,084,899,136.46
  5. Step 5: Solve for x
    x = 27,084,899,136.46/189,573.67
  6. Step 6: Final answer
    x = 142,872.68

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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.