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Finding the Fourth Proportional to 150,743.52, 208,042.56 and 86,218.68

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Solution

The fourth proportional to 150,743.52, 208,042.56 and 86,218.68 is: 118,991.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,743.52 : 208,042.56 = 86,218.68 : x
  2. Step 2: Convert to fraction form
    150,743.52/208,042.56 = 86,218.68/x
  3. Step 3: Cross multiply
    150,743.52x = 208,042.56 × 86,218.68
  4. Step 4: Simplify right side
    150,743.52x = 17,937,154,907.02
  5. Step 5: Solve for x
    x = 17,937,154,907.02/150,743.52
  6. Step 6: Final answer
    x = 118,991.22

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1.5x scale

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.