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Finding the Fourth Proportional to 211,393.92, 317,137.68 and 71,148

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Solution

The fourth proportional to 211,393.92, 317,137.68 and 71,148 is: 106,737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,393.92 : 317,137.68 = 71,148 : x
  2. Step 2: Convert to fraction form
    211,393.92/317,137.68 = 71,148/x
  3. Step 3: Cross multiply
    211,393.92x = 317,137.68 × 71,148
  4. Step 4: Simplify right side
    211,393.92x = 22,563,711,656.64
  5. Step 5: Solve for x
    x = 22,563,711,656.64/211,393.92
  6. Step 6: Final answer
    x = 106,737.75

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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.