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Finding the Fourth Proportional to 147,218.83, 220,828.32 and 47,379.01

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Solution

The fourth proportional to 147,218.83, 220,828.32 and 47,379.01 is: 71,068.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,218.83 : 220,828.32 = 47,379.01 : x
  2. Step 2: Convert to fraction form
    147,218.83/220,828.32 = 47,379.01/x
  3. Step 3: Cross multiply
    147,218.83x = 220,828.32 × 47,379.01
  4. Step 4: Simplify right side
    147,218.83x = 10,462,627,181.56
  5. Step 5: Solve for x
    x = 10,462,627,181.56/147,218.83
  6. Step 6: Final answer
    x = 71,068.54

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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.