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Finding the Fourth Proportional to 199,615.82, 299,210.49 and 99,578.79

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Solution

The fourth proportional to 199,615.82, 299,210.49 and 99,578.79 is: 149,261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,615.82 : 299,210.49 = 99,578.79 : x
  2. Step 2: Convert to fraction form
    199,615.82/299,210.49 = 99,578.79/x
  3. Step 3: Cross multiply
    199,615.82x = 299,210.49 × 99,578.79
  4. Step 4: Simplify right side
    199,615.82x = 29,795,018,549.51
  5. Step 5: Solve for x
    x = 29,795,018,549.51/199,615.82
  6. Step 6: Final answer
    x = 149,261.81

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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.