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Finding the Fourth Proportional to 105,194.60, 145,030.80 and 77,884.44

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Solution

The fourth proportional to 105,194.60, 145,030.80 and 77,884.44 is: 107,378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,194.60 : 145,030.80 = 77,884.44 : x
  2. Step 2: Convert to fraction form
    105,194.60/145,030.80 = 77,884.44/x
  3. Step 3: Cross multiply
    105,194.60x = 145,030.80 × 77,884.44
  4. Step 4: Simplify right side
    105,194.60x = 11,295,642,640.75
  5. Step 5: Solve for x
    x = 11,295,642,640.75/105,194.60
  6. Step 6: Final answer
    x = 107,378.54

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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.