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Finding the Fourth Proportional to 105,778.58, 145,973.58 and 57,380.37

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Solution

The fourth proportional to 105,778.58, 145,973.58 and 57,380.37 is: 79,184.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,778.58 : 145,973.58 = 57,380.37 : x
  2. Step 2: Convert to fraction form
    105,778.58/145,973.58 = 57,380.37/x
  3. Step 3: Cross multiply
    105,778.58x = 145,973.58 × 57,380.37
  4. Step 4: Simplify right side
    105,778.58x = 8,376,017,268.05
  5. Step 5: Solve for x
    x = 8,376,017,268.05/105,778.58
  6. Step 6: Final answer
    x = 79,184.44

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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.