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Finding the Fourth Proportional to 194,464.80, 291,661.20 and 54,194.40

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Solution

The fourth proportional to 194,464.80, 291,661.20 and 54,194.40 is: 81,281.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,464.80 : 291,661.20 = 54,194.40 : x
  2. Step 2: Convert to fraction form
    194,464.80/291,661.20 = 54,194.40/x
  3. Step 3: Cross multiply
    194,464.80x = 291,661.20 × 54,194.40
  4. Step 4: Simplify right side
    194,464.80x = 15,806,403,737.28
  5. Step 5: Solve for x
    x = 15,806,403,737.28/194,464.80
  6. Step 6: Final answer
    x = 81,281.57

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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.