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Finding the Fourth Proportional to 172,082.30, 258,123.45 and 161,714.30

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Solution

The fourth proportional to 172,082.30, 258,123.45 and 161,714.30 is: 242,571.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,082.30 : 258,123.45 = 161,714.30 : x
  2. Step 2: Convert to fraction form
    172,082.30/258,123.45 = 161,714.30/x
  3. Step 3: Cross multiply
    172,082.30x = 258,123.45 × 161,714.30
  4. Step 4: Simplify right side
    172,082.30x = 41,742,253,030.34
  5. Step 5: Solve for x
    x = 41,742,253,030.34/172,082.30
  6. Step 6: Final answer
    x = 242,571.45

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1.5x scale

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.