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Finding the Fourth Proportional to 189,770.52, 284,705.12 and 56,650.80

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Solution

The fourth proportional to 189,770.52, 284,705.12 and 56,650.80 is: 84,990.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,770.52 : 284,705.12 = 56,650.80 : x
  2. Step 2: Convert to fraction form
    189,770.52/284,705.12 = 56,650.80/x
  3. Step 3: Cross multiply
    189,770.52x = 284,705.12 × 56,650.80
  4. Step 4: Simplify right side
    189,770.52x = 16,128,772,812.10
  5. Step 5: Solve for x
    x = 16,128,772,812.10/189,770.52
  6. Step 6: Final answer
    x = 84,990.93

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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.