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Finding the Fourth Proportional to 145,855.42, 218,783.12 and 35,047.42

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Solution

The fourth proportional to 145,855.42, 218,783.12 and 35,047.42 is: 52,571.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,855.42 : 218,783.12 = 35,047.42 : x
  2. Step 2: Convert to fraction form
    145,855.42/218,783.12 = 35,047.42/x
  3. Step 3: Cross multiply
    145,855.42x = 218,783.12 × 35,047.42
  4. Step 4: Simplify right side
    145,855.42x = 7,667,783,173.36
  5. Step 5: Solve for x
    x = 7,667,783,173.36/145,855.42
  6. Step 6: Final answer
    x = 52,571.12

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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.