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Finding the Fourth Proportional to 150,745.30, 208,031.79 and 86,220.50

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Solution

The fourth proportional to 150,745.30, 208,031.79 and 86,220.50 is: 118,986.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,745.30 : 208,031.79 = 86,220.50 : x
  2. Step 2: Convert to fraction form
    150,745.30/208,031.79 = 86,220.50/x
  3. Step 3: Cross multiply
    150,745.30x = 208,031.79 × 86,220.50
  4. Step 4: Simplify right side
    150,745.30x = 17,936,605,403.04
  5. Step 5: Solve for x
    x = 17,936,605,403.04/150,745.30
  6. Step 6: Final answer
    x = 118,986.16

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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.