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Finding the Fourth Proportional to 142,336, 196,424 and 85,749.76

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Solution

The fourth proportional to 142,336, 196,424 and 85,749.76 is: 118,334.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,336 : 196,424 = 85,749.76 : x
  2. Step 2: Convert to fraction form
    142,336/196,424 = 85,749.76/x
  3. Step 3: Cross multiply
    142,336x = 196,424 × 85,749.76
  4. Step 4: Simplify right side
    142,336x = 16,843,310,858.24
  5. Step 5: Solve for x
    x = 16,843,310,858.24/142,336
  6. Step 6: Final answer
    x = 118,334.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.