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Finding the Fourth Proportional to 97,903.75, 146,706.09 and 72,822.49

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Solution

The fourth proportional to 97,903.75, 146,706.09 and 72,822.49 is: 109,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,903.75 : 146,706.09 = 72,822.49 : x
  2. Step 2: Convert to fraction form
    97,903.75/146,706.09 = 72,822.49/x
  3. Step 3: Cross multiply
    97,903.75x = 146,706.09 × 72,822.49
  4. Step 4: Simplify right side
    97,903.75x = 10,683,502,771.96
  5. Step 5: Solve for x
    x = 10,683,502,771.96/97,903.75
  6. Step 6: Final answer
    x = 109,122.51

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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.