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Finding the Fourth Proportional to 199,625.40, 299,000.70 and 106,021.80

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Solution

The fourth proportional to 199,625.40, 299,000.70 and 106,021.80 is: 158,800.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,625.40 : 299,000.70 = 106,021.80 : x
  2. Step 2: Convert to fraction form
    199,625.40/299,000.70 = 106,021.80/x
  3. Step 3: Cross multiply
    199,625.40x = 299,000.70 × 106,021.80
  4. Step 4: Simplify right side
    199,625.40x = 31,700,592,415.26
  5. Step 5: Solve for x
    x = 31,700,592,415.26/199,625.40
  6. Step 6: Final answer
    x = 158,800.40

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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.