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Finding the Fourth Proportional to 103,163.88, 154,693.98 and 47,798.76

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Solution

The fourth proportional to 103,163.88, 154,693.98 and 47,798.76 is: 71,674.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,163.88 : 154,693.98 = 47,798.76 : x
  2. Step 2: Convert to fraction form
    103,163.88/154,693.98 = 47,798.76/x
  3. Step 3: Cross multiply
    103,163.88x = 154,693.98 × 47,798.76
  4. Step 4: Simplify right side
    103,163.88x = 7,394,180,423.46
  5. Step 5: Solve for x
    x = 7,394,180,423.46/103,163.88
  6. Step 6: Final answer
    x = 71,674.12

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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.