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Finding the Fourth Proportional to 209,287.98, 313,931.97 and 61,543.98

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Solution

The fourth proportional to 209,287.98, 313,931.97 and 61,543.98 is: 92,315.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,287.98 : 313,931.97 = 61,543.98 : x
  2. Step 2: Convert to fraction form
    209,287.98/313,931.97 = 61,543.98/x
  3. Step 3: Cross multiply
    209,287.98x = 313,931.97 × 61,543.98
  4. Step 4: Simplify right side
    209,287.98x = 19,320,622,883.04
  5. Step 5: Solve for x
    x = 19,320,622,883.04/209,287.98
  6. Step 6: Final answer
    x = 92,315.97

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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.