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Finding the Fourth Proportional to 189,420, 284,132.16 and 56,296.80

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Solution

The fourth proportional to 189,420, 284,132.16 and 56,296.80 is: 84,445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,420 : 284,132.16 = 56,296.80 : x
  2. Step 2: Convert to fraction form
    189,420/284,132.16 = 56,296.80/x
  3. Step 3: Cross multiply
    189,420x = 284,132.16 × 56,296.80
  4. Step 4: Simplify right side
    189,420x = 15,995,731,385.09
  5. Step 5: Solve for x
    x = 15,995,731,385.09/189,420
  6. Step 6: Final answer
    x = 84,445.84

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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.