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Finding the Fourth Proportional to 100,091.51, 149,981.75 and 63,077.75

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Solution

The fourth proportional to 100,091.51, 149,981.75 and 63,077.75 is: 94,518.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,091.51 : 149,981.75 = 63,077.75 : x
  2. Step 2: Convert to fraction form
    100,091.51/149,981.75 = 63,077.75/x
  3. Step 3: Cross multiply
    100,091.51x = 149,981.75 × 63,077.75
  4. Step 4: Simplify right side
    100,091.51x = 9,460,511,015.67
  5. Step 5: Solve for x
    x = 9,460,511,015.67/100,091.51
  6. Step 6: Final answer
    x = 94,518.62

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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.