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Finding the Fourth Proportional to 215,865.70, 323,701.35 and 97,476.10

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Solution

The fourth proportional to 215,865.70, 323,701.35 and 97,476.10 is: 146,170.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,865.70 : 323,701.35 = 97,476.10 : x
  2. Step 2: Convert to fraction form
    215,865.70/323,701.35 = 97,476.10/x
  3. Step 3: Cross multiply
    215,865.70x = 323,701.35 × 97,476.10
  4. Step 4: Simplify right side
    215,865.70x = 31,553,145,162.74
  5. Step 5: Solve for x
    x = 31,553,145,162.74/215,865.70
  6. Step 6: Final answer
    x = 146,170.26

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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.