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Finding the Fourth Proportional to 186,002.87, 256,704 and 105,421.73

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Solution

The fourth proportional to 186,002.87, 256,704 and 105,421.73 is: 145,493.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,002.87 : 256,704 = 105,421.73 : x
  2. Step 2: Convert to fraction form
    186,002.87/256,704 = 105,421.73/x
  3. Step 3: Cross multiply
    186,002.87x = 256,704 × 105,421.73
  4. Step 4: Simplify right side
    186,002.87x = 27,062,179,777.92
  5. Step 5: Solve for x
    x = 27,062,179,777.92/186,002.87
  6. Step 6: Final answer
    x = 145,493.35

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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.