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Finding the Fourth Proportional to 189,885.64, 284,579.34 and 139,730.92

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Solution

The fourth proportional to 189,885.64, 284,579.34 and 139,730.92 is: 209,413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,885.64 : 284,579.34 = 139,730.92 : x
  2. Step 2: Convert to fraction form
    189,885.64/284,579.34 = 139,730.92/x
  3. Step 3: Cross multiply
    189,885.64x = 284,579.34 × 139,730.92
  4. Step 4: Simplify right side
    189,885.64x = 39,764,532,991.19
  5. Step 5: Solve for x
    x = 39,764,532,991.19/189,885.64
  6. Step 6: Final answer
    x = 209,413.06

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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.