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Finding the Fourth Proportional to 178,253, 245,989.16 and 106,636.04

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Solution

The fourth proportional to 178,253, 245,989.16 and 106,636.04 is: 147,157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,253 : 245,989.16 = 106,636.04 : x
  2. Step 2: Convert to fraction form
    178,253/245,989.16 = 106,636.04/x
  3. Step 3: Cross multiply
    178,253x = 245,989.16 × 106,636.04
  4. Step 4: Simplify right side
    178,253x = 26,231,309,905.33
  5. Step 5: Solve for x
    x = 26,231,309,905.33/178,253
  6. Step 6: Final answer
    x = 147,157.75

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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.