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Finding the Fourth Proportional to 189,994.60, 284,953.02 and 65,345.32

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Solution

The fourth proportional to 189,994.60, 284,953.02 and 65,345.32 is: 98,004.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,994.60 : 284,953.02 = 65,345.32 : x
  2. Step 2: Convert to fraction form
    189,994.60/284,953.02 = 65,345.32/x
  3. Step 3: Cross multiply
    189,994.60x = 284,953.02 × 65,345.32
  4. Step 4: Simplify right side
    189,994.60x = 18,620,346,276.87
  5. Step 5: Solve for x
    x = 18,620,346,276.87/189,994.60
  6. Step 6: Final answer
    x = 98,004.61

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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.