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Finding the Fourth Proportional to 150,937.81, 208,074.68 and 105,474.68

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Solution

The fourth proportional to 150,937.81, 208,074.68 and 105,474.68 is: 145,401.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,937.81 : 208,074.68 = 105,474.68 : x
  2. Step 2: Convert to fraction form
    150,937.81/208,074.68 = 105,474.68/x
  3. Step 3: Cross multiply
    150,937.81x = 208,074.68 × 105,474.68
  4. Step 4: Simplify right side
    150,937.81x = 21,946,610,281.92
  5. Step 5: Solve for x
    x = 21,946,610,281.92/150,937.81
  6. Step 6: Final answer
    x = 145,401.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.