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Finding the Fourth Proportional to 100,889.70, 151,329.06 and 30,763.50

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Solution

The fourth proportional to 100,889.70, 151,329.06 and 30,763.50 is: 46,143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,889.70 : 151,329.06 = 30,763.50 : x
  2. Step 2: Convert to fraction form
    100,889.70/151,329.06 = 30,763.50/x
  3. Step 3: Cross multiply
    100,889.70x = 151,329.06 × 30,763.50
  4. Step 4: Simplify right side
    100,889.70x = 4,655,411,537.31
  5. Step 5: Solve for x
    x = 4,655,411,537.31/100,889.70
  6. Step 6: Final answer
    x = 46,143.58

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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.