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Finding the Fourth Proportional to 194,460.80, 291,655.20 and 54,190.40

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Solution

The fourth proportional to 194,460.80, 291,655.20 and 54,190.40 is: 81,275.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,460.80 : 291,655.20 = 54,190.40 : x
  2. Step 2: Convert to fraction form
    194,460.80/291,655.20 = 54,190.40/x
  3. Step 3: Cross multiply
    194,460.80x = 291,655.20 × 54,190.40
  4. Step 4: Simplify right side
    194,460.80x = 15,804,911,950.08
  5. Step 5: Solve for x
    x = 15,804,911,950.08/194,460.80
  6. Step 6: Final answer
    x = 81,275.57

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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.