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Finding the Fourth Proportional to 109,683.84, 164,276.10 and 85,842.72

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Solution

The fourth proportional to 109,683.84, 164,276.10 and 85,842.72 is: 128,568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,683.84 : 164,276.10 = 85,842.72 : x
  2. Step 2: Convert to fraction form
    109,683.84/164,276.10 = 85,842.72/x
  3. Step 3: Cross multiply
    109,683.84x = 164,276.10 × 85,842.72
  4. Step 4: Simplify right side
    109,683.84x = 14,101,907,254.99
  5. Step 5: Solve for x
    x = 14,101,907,254.99/109,683.84
  6. Step 6: Final answer
    x = 128,568.69

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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.