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Finding the Fourth Proportional to 213,746.75, 320,501.81 and 87,475.75

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Solution

The fourth proportional to 213,746.75, 320,501.81 and 87,475.75 is: 131,165.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,746.75 : 320,501.81 = 87,475.75 : x
  2. Step 2: Convert to fraction form
    213,746.75/320,501.81 = 87,475.75/x
  3. Step 3: Cross multiply
    213,746.75x = 320,501.81 × 87,475.75
  4. Step 4: Simplify right side
    213,746.75x = 28,036,135,623.54
  5. Step 5: Solve for x
    x = 28,036,135,623.54/213,746.75
  6. Step 6: Final answer
    x = 131,165.20

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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.