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Finding the Fourth Proportional to 198,754.74, 298,161.66 and 65,649.06

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Solution

The fourth proportional to 198,754.74, 298,161.66 and 65,649.06 is: 98,483.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,754.74 : 298,161.66 = 65,649.06 : x
  2. Step 2: Convert to fraction form
    198,754.74/298,161.66 = 65,649.06/x
  3. Step 3: Cross multiply
    198,754.74x = 298,161.66 × 65,649.06
  4. Step 4: Simplify right side
    198,754.74x = 19,574,032,707.04
  5. Step 5: Solve for x
    x = 19,574,032,707.04/198,754.74
  6. Step 6: Final answer
    x = 98,483.35

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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.