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Finding the Fourth Proportional to 199,290.30, 299,108.14 and 104,587.40

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Solution

The fourth proportional to 199,290.30, 299,108.14 and 104,587.40 is: 156,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,290.30 : 299,108.14 = 104,587.40 : x
  2. Step 2: Convert to fraction form
    199,290.30/299,108.14 = 104,587.40/x
  3. Step 3: Cross multiply
    199,290.30x = 299,108.14 × 104,587.40
  4. Step 4: Simplify right side
    199,290.30x = 31,282,942,681.44
  5. Step 5: Solve for x
    x = 31,282,942,681.44/199,290.30
  6. Step 6: Final answer
    x = 156,971.73

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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.