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Finding the Fourth Proportional to 215,811.40, 323,640.30 and 97,539.40

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Solution

The fourth proportional to 215,811.40, 323,640.30 and 97,539.40 is: 146,274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,811.40 : 323,640.30 = 97,539.40 : x
  2. Step 2: Convert to fraction form
    215,811.40/323,640.30 = 97,539.40/x
  3. Step 3: Cross multiply
    215,811.40x = 323,640.30 × 97,539.40
  4. Step 4: Simplify right side
    215,811.40x = 31,567,680,677.82
  5. Step 5: Solve for x
    x = 31,567,680,677.82/215,811.40
  6. Step 6: Final answer
    x = 146,274.39

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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.