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Finding the Fourth Proportional to 189,970.11, 284,933.30 and 77,572.89

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Solution

The fourth proportional to 189,970.11, 284,933.30 and 77,572.89 is: 116,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,970.11 : 284,933.30 = 77,572.89 : x
  2. Step 2: Convert to fraction form
    189,970.11/284,933.30 = 77,572.89/x
  3. Step 3: Cross multiply
    189,970.11x = 284,933.30 × 77,572.89
  4. Step 4: Simplify right side
    189,970.11x = 22,103,099,150.37
  5. Step 5: Solve for x
    x = 22,103,099,150.37/189,970.11
  6. Step 6: Final answer
    x = 116,350.40

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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.