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Finding the Fourth Proportional to 151,485, 209,048.09 and 83,501.97

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Solution

The fourth proportional to 151,485, 209,048.09 and 83,501.97 is: 115,232.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,485 : 209,048.09 = 83,501.97 : x
  2. Step 2: Convert to fraction form
    151,485/209,048.09 = 83,501.97/x
  3. Step 3: Cross multiply
    151,485x = 209,048.09 × 83,501.97
  4. Step 4: Simplify right side
    151,485x = 17,455,926,922.23
  5. Step 5: Solve for x
    x = 17,455,926,922.23/151,485
  6. Step 6: Final answer
    x = 115,232.05

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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.