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Finding the Fourth Proportional to 208,647.76, 312,971.64 and 97,813.84

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Solution

The fourth proportional to 208,647.76, 312,971.64 and 97,813.84 is: 146,720.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,647.76 : 312,971.64 = 97,813.84 : x
  2. Step 2: Convert to fraction form
    208,647.76/312,971.64 = 97,813.84/x
  3. Step 3: Cross multiply
    208,647.76x = 312,971.64 × 97,813.84
  4. Step 4: Simplify right side
    208,647.76x = 30,612,957,919.50
  5. Step 5: Solve for x
    x = 30,612,957,919.50/208,647.76
  6. Step 6: Final answer
    x = 146,720.76

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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.