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Finding the Fourth Proportional to 213,409.10, 320,129.85 and 63,637.67

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Solution

The fourth proportional to 213,409.10, 320,129.85 and 63,637.67 is: 95,461.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,409.10 : 320,129.85 = 63,637.67 : x
  2. Step 2: Convert to fraction form
    213,409.10/320,129.85 = 63,637.67/x
  3. Step 3: Cross multiply
    213,409.10x = 320,129.85 × 63,637.67
  4. Step 4: Simplify right side
    213,409.10x = 20,372,317,751.45
  5. Step 5: Solve for x
    x = 20,372,317,751.45/213,409.10
  6. Step 6: Final answer
    x = 95,461.34

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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.