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Finding the Fourth Proportional to 211,548.68, 317,156.88 and 144,786.40

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Solution

The fourth proportional to 211,548.68, 317,156.88 and 144,786.40 is: 217,065.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,548.68 : 317,156.88 = 144,786.40 : x
  2. Step 2: Convert to fraction form
    211,548.68/317,156.88 = 144,786.40/x
  3. Step 3: Cross multiply
    211,548.68x = 317,156.88 × 144,786.40
  4. Step 4: Simplify right side
    211,548.68x = 45,920,002,097.54
  5. Step 5: Solve for x
    x = 45,920,002,097.54/211,548.68
  6. Step 6: Final answer
    x = 217,065.89

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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.