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Finding the Fourth Proportional to 100,903.60, 151,362.60 and 30,782.80

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Solution

The fourth proportional to 100,903.60, 151,362.60 and 30,782.80 is: 46,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,903.60 : 151,362.60 = 30,782.80 : x
  2. Step 2: Convert to fraction form
    100,903.60/151,362.60 = 30,782.80/x
  3. Step 3: Cross multiply
    100,903.60x = 151,362.60 × 30,782.80
  4. Step 4: Simplify right side
    100,903.60x = 4,659,364,643.28
  5. Step 5: Solve for x
    x = 4,659,364,643.28/100,903.60
  6. Step 6: Final answer
    x = 46,176.40

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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.