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Finding the Fourth Proportional to 145,855.83, 218,783.75 and 47,359.83

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Solution

The fourth proportional to 145,855.83, 218,783.75 and 47,359.83 is: 71,039.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,855.83 : 218,783.75 = 47,359.83 : x
  2. Step 2: Convert to fraction form
    145,855.83/218,783.75 = 47,359.83/x
  3. Step 3: Cross multiply
    145,855.83x = 218,783.75 × 47,359.83
  4. Step 4: Simplify right side
    145,855.83x = 10,361,560,969.96
  5. Step 5: Solve for x
    x = 10,361,560,969.96/145,855.83
  6. Step 6: Final answer
    x = 71,039.75

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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.