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Finding the Fourth Proportional to 203,587.90, 305,407.67 and 77,272.25

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Solution

The fourth proportional to 203,587.90, 305,407.67 and 77,272.25 is: 115,918.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,587.90 : 305,407.67 = 77,272.25 : x
  2. Step 2: Convert to fraction form
    203,587.90/305,407.67 = 77,272.25/x
  3. Step 3: Cross multiply
    203,587.90x = 305,407.67 × 77,272.25
  4. Step 4: Simplify right side
    203,587.90x = 23,599,535,914.76
  5. Step 5: Solve for x
    x = 23,599,535,914.76/203,587.90
  6. Step 6: Final answer
    x = 115,918.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.