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Finding the Fourth Proportional to 543,136.80, 814,744.98 and 143,774.76

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Solution

The fourth proportional to 543,136.80, 814,744.98 and 143,774.76 is: 215,672.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,136.80 : 814,744.98 = 143,774.76 : x
  2. Step 2: Convert to fraction form
    543,136.80/814,744.98 = 143,774.76/x
  3. Step 3: Cross multiply
    543,136.80x = 814,744.98 × 143,774.76
  4. Step 4: Simplify right side
    543,136.80x = 117,139,763,960.71
  5. Step 5: Solve for x
    x = 117,139,763,960.71/543,136.80
  6. Step 6: Final answer
    x = 215,672.67

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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.