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Finding the Fourth Proportional to 105,422.40, 158,133.60 and 96,868.80

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Solution

The fourth proportional to 105,422.40, 158,133.60 and 96,868.80 is: 145,303.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,422.40 : 158,133.60 = 96,868.80 : x
  2. Step 2: Convert to fraction form
    105,422.40/158,133.60 = 96,868.80/x
  3. Step 3: Cross multiply
    105,422.40x = 158,133.60 × 96,868.80
  4. Step 4: Simplify right side
    105,422.40x = 15,318,212,071.68
  5. Step 5: Solve for x
    x = 15,318,212,071.68/105,422.40
  6. Step 6: Final answer
    x = 145,303.20

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1.5x scale

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.