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Finding the Fourth Proportional to 211,855.83, 317,783.94 and 148,957.30

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Solution

The fourth proportional to 211,855.83, 317,783.94 and 148,957.30 is: 223,436.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,855.83 : 317,783.94 = 148,957.30 : x
  2. Step 2: Convert to fraction form
    211,855.83/317,783.94 = 148,957.30/x
  3. Step 3: Cross multiply
    211,855.83x = 317,783.94 × 148,957.30
  4. Step 4: Simplify right side
    211,855.83x = 47,336,237,685.76
  5. Step 5: Solve for x
    x = 47,336,237,685.76/211,855.83
  6. Step 6: Final answer
    x = 223,436.09

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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.