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Finding the Fourth Proportional to 194,561.80, 291,806.70 and 54,291.40

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Solution

The fourth proportional to 194,561.80, 291,806.70 and 54,291.40 is: 81,427.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,561.80 : 291,806.70 = 54,291.40 : x
  2. Step 2: Convert to fraction form
    194,561.80/291,806.70 = 54,291.40/x
  3. Step 3: Cross multiply
    194,561.80x = 291,806.70 × 54,291.40
  4. Step 4: Simplify right side
    194,561.80x = 15,842,594,272.38
  5. Step 5: Solve for x
    x = 15,842,594,272.38/194,561.80
  6. Step 6: Final answer
    x = 81,427.05

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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.