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Finding the Fourth Proportional to 100,530.36, 150,751.26 and 47,237.50

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Solution

The fourth proportional to 100,530.36, 150,751.26 and 47,237.50 is: 70,835.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,530.36 : 150,751.26 = 47,237.50 : x
  2. Step 2: Convert to fraction form
    100,530.36/150,751.26 = 47,237.50/x
  3. Step 3: Cross multiply
    100,530.36x = 150,751.26 × 47,237.50
  4. Step 4: Simplify right side
    100,530.36x = 7,121,112,644.25
  5. Step 5: Solve for x
    x = 7,121,112,644.25/100,530.36
  6. Step 6: Final answer
    x = 70,835.44

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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.