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Finding the Fourth Proportional to 106,448.95, 159,699.10 and 39,889.67

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Solution

The fourth proportional to 106,448.95, 159,699.10 and 39,889.67 is: 59,844.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,448.95 : 159,699.10 = 39,889.67 : x
  2. Step 2: Convert to fraction form
    106,448.95/159,699.10 = 39,889.67/x
  3. Step 3: Cross multiply
    106,448.95x = 159,699.10 × 39,889.67
  4. Step 4: Simplify right side
    106,448.95x = 6,370,343,500.08
  5. Step 5: Solve for x
    x = 6,370,343,500.08/106,448.95
  6. Step 6: Final answer
    x = 59,844.12

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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.