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Finding the Fourth Proportional to 208,533.12, 312,768 and 68,288.64

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Solution

The fourth proportional to 208,533.12, 312,768 and 68,288.64 is: 102,422.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,533.12 : 312,768 = 68,288.64 : x
  2. Step 2: Convert to fraction form
    208,533.12/312,768 = 68,288.64/x
  3. Step 3: Cross multiply
    208,533.12x = 312,768 × 68,288.64
  4. Step 4: Simplify right side
    208,533.12x = 21,358,501,355.52
  5. Step 5: Solve for x
    x = 21,358,501,355.52/208,533.12
  6. Step 6: Final answer
    x = 102,422.59

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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.