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Finding the Fourth Proportional to 213,772.80, 320,488.32 and 101,396.48

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Solution

The fourth proportional to 213,772.80, 320,488.32 and 101,396.48 is: 152,013.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,772.80 : 320,488.32 = 101,396.48 : x
  2. Step 2: Convert to fraction form
    213,772.80/320,488.32 = 101,396.48/x
  3. Step 3: Cross multiply
    213,772.80x = 320,488.32 × 101,396.48
  4. Step 4: Simplify right side
    213,772.80x = 32,496,387,529.11
  5. Step 5: Solve for x
    x = 32,496,387,529.11/213,772.80
  6. Step 6: Final answer
    x = 152,013.67

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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.