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Finding the Fourth Proportional to 105,336.71, 157,972.94 and 55,389.71

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Solution

The fourth proportional to 105,336.71, 157,972.94 and 55,389.71 is: 83,067.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,336.71 : 157,972.94 = 55,389.71 : x
  2. Step 2: Convert to fraction form
    105,336.71/157,972.94 = 55,389.71/x
  3. Step 3: Cross multiply
    105,336.71x = 157,972.94 × 55,389.71
  4. Step 4: Simplify right side
    105,336.71x = 8,750,075,057.50
  5. Step 5: Solve for x
    x = 8,750,075,057.50/105,336.71
  6. Step 6: Final answer
    x = 83,067.67

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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.