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Finding the Fourth Proportional to 189,880, 284,882.40 and 77,654.66

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Solution

The fourth proportional to 189,880, 284,882.40 and 77,654.66 is: 116,507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,880 : 284,882.40 = 77,654.66 : x
  2. Step 2: Convert to fraction form
    189,880/284,882.40 = 77,654.66/x
  3. Step 3: Cross multiply
    189,880x = 284,882.40 × 77,654.66
  4. Step 4: Simplify right side
    189,880x = 22,122,445,911.98
  5. Step 5: Solve for x
    x = 22,122,445,911.98/189,880
  6. Step 6: Final answer
    x = 116,507.51

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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.