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Finding the Fourth Proportional to 147,235.86, 220,889.07 and 47,405.43

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Solution

The fourth proportional to 147,235.86, 220,889.07 and 47,405.43 is: 71,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,235.86 : 220,889.07 = 47,405.43 : x
  2. Step 2: Convert to fraction form
    147,235.86/220,889.07 = 47,405.43/x
  3. Step 3: Cross multiply
    147,235.86x = 220,889.07 × 47,405.43
  4. Step 4: Simplify right side
    147,235.86x = 10,471,341,345.65
  5. Step 5: Solve for x
    x = 10,471,341,345.65/147,235.86
  6. Step 6: Final answer
    x = 71,119.50

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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.