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Finding the Fourth Proportional to 194,045.61, 290,722.12 and 105,242.47

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Solution

The fourth proportional to 194,045.61, 290,722.12 and 105,242.47 is: 157,675.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,045.61 : 290,722.12 = 105,242.47 : x
  2. Step 2: Convert to fraction form
    194,045.61/290,722.12 = 105,242.47/x
  3. Step 3: Cross multiply
    194,045.61x = 290,722.12 × 105,242.47
  4. Step 4: Simplify right side
    194,045.61x = 30,596,313,992.44
  5. Step 5: Solve for x
    x = 30,596,313,992.44/194,045.61
  6. Step 6: Final answer
    x = 157,675.89

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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.