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Finding the Fourth Proportional to 213,495.18, 319,983.81 and 156,809.67

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Solution

The fourth proportional to 213,495.18, 319,983.81 and 156,809.67 is: 235,024.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,495.18 : 319,983.81 = 156,809.67 : x
  2. Step 2: Convert to fraction form
    213,495.18/319,983.81 = 156,809.67/x
  3. Step 3: Cross multiply
    213,495.18x = 319,983.81 × 156,809.67
  4. Step 4: Simplify right side
    213,495.18x = 50,176,555,651.44
  5. Step 5: Solve for x
    x = 50,176,555,651.44/213,495.18
  6. Step 6: Final answer
    x = 235,024.30

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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.