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Finding the Fourth Proportional to 172,082.34, 258,123.51 and 53,763.01

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Solution

The fourth proportional to 172,082.34, 258,123.51 and 53,763.01 is: 80,644.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,082.34 : 258,123.51 = 53,763.01 : x
  2. Step 2: Convert to fraction form
    172,082.34/258,123.51 = 53,763.01/x
  3. Step 3: Cross multiply
    172,082.34x = 258,123.51 × 53,763.01
  4. Step 4: Simplify right side
    172,082.34x = 13,877,496,204.06
  5. Step 5: Solve for x
    x = 13,877,496,204.06/172,082.34
  6. Step 6: Final answer
    x = 80,644.51

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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.