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Finding the Fourth Proportional to 209,840.40, 314,760.60 and 85,181.40

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Solution

The fourth proportional to 209,840.40, 314,760.60 and 85,181.40 is: 127,772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,840.40 : 314,760.60 = 85,181.40 : x
  2. Step 2: Convert to fraction form
    209,840.40/314,760.60 = 85,181.40/x
  3. Step 3: Cross multiply
    209,840.40x = 314,760.60 × 85,181.40
  4. Step 4: Simplify right side
    209,840.40x = 26,811,748,572.84
  5. Step 5: Solve for x
    x = 26,811,748,572.84/209,840.40
  6. Step 6: Final answer
    x = 127,772.10

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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.