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Finding the Fourth Proportional to 151,480.40, 209,054.99 and 83,509.52

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Solution

The fourth proportional to 151,480.40, 209,054.99 and 83,509.52 is: 115,249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,480.40 : 209,054.99 = 83,509.52 : x
  2. Step 2: Convert to fraction form
    151,480.40/209,054.99 = 83,509.52/x
  3. Step 3: Cross multiply
    151,480.40x = 209,054.99 × 83,509.52
  4. Step 4: Simplify right side
    151,480.40x = 17,458,081,032.00
  5. Step 5: Solve for x
    x = 17,458,081,032.00/151,480.40
  6. Step 6: Final answer
    x = 115,249.77

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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.