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Finding the Fourth Proportional to 199,841.48, 299,975.62 and 86,045.66

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Solution

The fourth proportional to 199,841.48, 299,975.62 and 86,045.66 is: 129,160.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,841.48 : 299,975.62 = 86,045.66 : x
  2. Step 2: Convert to fraction form
    199,841.48/299,975.62 = 86,045.66/x
  3. Step 3: Cross multiply
    199,841.48x = 299,975.62 × 86,045.66
  4. Step 4: Simplify right side
    199,841.48x = 25,811,600,206.81
  5. Step 5: Solve for x
    x = 25,811,600,206.81/199,841.48
  6. Step 6: Final answer
    x = 129,160.37

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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.