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Finding the Fourth Proportional to 150,149, 207,208.86 and 86,476.52

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Solution

The fourth proportional to 150,149, 207,208.86 and 86,476.52 is: 119,339.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,149 : 207,208.86 = 86,476.52 : x
  2. Step 2: Convert to fraction form
    150,149/207,208.86 = 86,476.52/x
  3. Step 3: Cross multiply
    150,149x = 207,208.86 × 86,476.52
  4. Step 4: Simplify right side
    150,149x = 17,918,701,125.97
  5. Step 5: Solve for x
    x = 17,918,701,125.97/150,149
  6. Step 6: Final answer
    x = 119,339.46

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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.