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Finding the Fourth Proportional to 197,281.40, 296,043.60 and 85,015.40

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Solution

The fourth proportional to 197,281.40, 296,043.60 and 85,015.40 is: 127,575.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,281.40 : 296,043.60 = 85,015.40 : x
  2. Step 2: Convert to fraction form
    197,281.40/296,043.60 = 85,015.40/x
  3. Step 3: Cross multiply
    197,281.40x = 296,043.60 × 85,015.40
  4. Step 4: Simplify right side
    197,281.40x = 25,168,265,071.44
  5. Step 5: Solve for x
    x = 25,168,265,071.44/197,281.40
  6. Step 6: Final answer
    x = 127,575.46

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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.