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Finding the Fourth Proportional to 280,162.34, 420,187.01 and 102,608.72

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Solution

The fourth proportional to 280,162.34, 420,187.01 and 102,608.72 is: 153,892.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,162.34 : 420,187.01 = 102,608.72 : x
  2. Step 2: Convert to fraction form
    280,162.34/420,187.01 = 102,608.72/x
  3. Step 3: Cross multiply
    280,162.34x = 420,187.01 × 102,608.72
  4. Step 4: Simplify right side
    280,162.34x = 43,114,848,642.75
  5. Step 5: Solve for x
    x = 43,114,848,642.75/280,162.34
  6. Step 6: Final answer
    x = 153,892.38

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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.