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Finding the Fourth Proportional to 105,193.60, 145,029.42 and 77,883.44

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Solution

The fourth proportional to 105,193.60, 145,029.42 and 77,883.44 is: 107,377.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,193.60 : 145,029.42 = 77,883.44 : x
  2. Step 2: Convert to fraction form
    105,193.60/145,029.42 = 77,883.44/x
  3. Step 3: Cross multiply
    105,193.60x = 145,029.42 × 77,883.44
  4. Step 4: Simplify right side
    105,193.60x = 11,295,389,405.66
  5. Step 5: Solve for x
    x = 11,295,389,405.66/105,193.60
  6. Step 6: Final answer
    x = 107,377.16

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1.5x scale

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.