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Finding the Fourth Proportional to 199,610.76, 299,415.30 and 81,254.04

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Solution

The fourth proportional to 199,610.76, 299,415.30 and 81,254.04 is: 121,880.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,610.76 : 299,415.30 = 81,254.04 : x
  2. Step 2: Convert to fraction form
    199,610.76/299,415.30 = 81,254.04/x
  3. Step 3: Cross multiply
    199,610.76x = 299,415.30 × 81,254.04
  4. Step 4: Simplify right side
    199,610.76x = 24,328,702,762.81
  5. Step 5: Solve for x
    x = 24,328,702,762.81/199,610.76
  6. Step 6: Final answer
    x = 121,880.72

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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.