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Finding the Fourth Proportional to 189,518.79, 284,261.77 and 77,210.87

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Solution

The fourth proportional to 189,518.79, 284,261.77 and 77,210.87 is: 115,809.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,518.79 : 284,261.77 = 77,210.87 : x
  2. Step 2: Convert to fraction form
    189,518.79/284,261.77 = 77,210.87/x
  3. Step 3: Cross multiply
    189,518.79x = 284,261.77 × 77,210.87
  4. Step 4: Simplify right side
    189,518.79x = 21,948,098,183.39
  5. Step 5: Solve for x
    x = 21,948,098,183.39/189,518.79
  6. Step 6: Final answer
    x = 115,809.62

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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.