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Finding the Fourth Proportional to 194,486.40, 291,703.68 and 54,233.28

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Solution

The fourth proportional to 194,486.40, 291,703.68 and 54,233.28 is: 81,342.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,486.40 : 291,703.68 = 54,233.28 : x
  2. Step 2: Convert to fraction form
    194,486.40/291,703.68 = 54,233.28/x
  3. Step 3: Cross multiply
    194,486.40x = 291,703.68 × 54,233.28
  4. Step 4: Simplify right side
    194,486.40x = 15,820,047,354.47
  5. Step 5: Solve for x
    x = 15,820,047,354.47/194,486.40
  6. Step 6: Final answer
    x = 81,342.69

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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.