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Finding the Fourth Proportional to 151,495.54, 209,054.44 and 83,509

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Solution

The fourth proportional to 151,495.54, 209,054.44 and 83,509 is: 115,237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,495.54 : 209,054.44 = 83,509 : x
  2. Step 2: Convert to fraction form
    151,495.54/209,054.44 = 83,509/x
  3. Step 3: Cross multiply
    151,495.54x = 209,054.44 × 83,509
  4. Step 4: Simplify right side
    151,495.54x = 17,457,927,229.96
  5. Step 5: Solve for x
    x = 17,457,927,229.96/151,495.54
  6. Step 6: Final answer
    x = 115,237.24

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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.