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Finding the Fourth Proportional to 105,782.55, 158,728.41 and 70,268.46

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Solution

The fourth proportional to 105,782.55, 158,728.41 and 70,268.46 is: 105,438.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,782.55 : 158,728.41 = 70,268.46 : x
  2. Step 2: Convert to fraction form
    105,782.55/158,728.41 = 70,268.46/x
  3. Step 3: Cross multiply
    105,782.55x = 158,728.41 × 70,268.46
  4. Step 4: Simplify right side
    105,782.55x = 11,153,600,928.95
  5. Step 5: Solve for x
    x = 11,153,600,928.95/105,782.55
  6. Step 6: Final answer
    x = 105,438.95

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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.