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Finding the Fourth Proportional to 181,972, 251,123.16 and 106,522.12

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Solution

The fourth proportional to 181,972, 251,123.16 and 106,522.12 is: 147,001.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,972 : 251,123.16 = 106,522.12 : x
  2. Step 2: Convert to fraction form
    181,972/251,123.16 = 106,522.12/x
  3. Step 3: Cross multiply
    181,972x = 251,123.16 × 106,522.12
  4. Step 4: Simplify right side
    181,972x = 26,750,171,384.30
  5. Step 5: Solve for x
    x = 26,750,171,384.30/181,972
  6. Step 6: Final answer
    x = 147,001.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.