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Finding the Fourth Proportional to 199,391, 299,086.42 and 59,148.40

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Solution

The fourth proportional to 199,391, 299,086.42 and 59,148.40 is: 88,722.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,391 : 299,086.42 = 59,148.40 : x
  2. Step 2: Convert to fraction form
    199,391/299,086.42 = 59,148.40/x
  3. Step 3: Cross multiply
    199,391x = 299,086.42 × 59,148.40
  4. Step 4: Simplify right side
    199,391x = 17,690,483,204.73
  5. Step 5: Solve for x
    x = 17,690,483,204.73/199,391
  6. Step 6: Final answer
    x = 88,722.58

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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.