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Finding the Fourth Proportional to 209,871.70, 314,884.35 and 85,225.30

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Solution

The fourth proportional to 209,871.70, 314,884.35 and 85,225.30 is: 127,869.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,871.70 : 314,884.35 = 85,225.30 : x
  2. Step 2: Convert to fraction form
    209,871.70/314,884.35 = 85,225.30/x
  3. Step 3: Cross multiply
    209,871.70x = 314,884.35 × 85,225.30
  4. Step 4: Simplify right side
    209,871.70x = 26,836,113,194.06
  5. Step 5: Solve for x
    x = 26,836,113,194.06/209,871.70
  6. Step 6: Final answer
    x = 127,869.14

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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.