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Finding the Fourth Proportional to 189,763, 284,672.30 and 77,450.04

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Solution

The fourth proportional to 189,763, 284,672.30 and 77,450.04 is: 116,186.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,763 : 284,672.30 = 77,450.04 : x
  2. Step 2: Convert to fraction form
    189,763/284,672.30 = 77,450.04/x
  3. Step 3: Cross multiply
    189,763x = 284,672.30 × 77,450.04
  4. Step 4: Simplify right side
    189,763x = 22,047,881,021.89
  5. Step 5: Solve for x
    x = 22,047,881,021.89/189,763
  6. Step 6: Final answer
    x = 116,186.41

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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.