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Finding the Fourth Proportional to 211,643.74, 317,514.10 and 91,720.83

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Solution

The fourth proportional to 211,643.74, 317,514.10 and 91,720.83 is: 137,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,643.74 : 317,514.10 = 91,720.83 : x
  2. Step 2: Convert to fraction form
    211,643.74/317,514.10 = 91,720.83/x
  3. Step 3: Cross multiply
    211,643.74x = 317,514.10 × 91,720.83
  4. Step 4: Simplify right side
    211,643.74x = 29,122,656,136.04
  5. Step 5: Solve for x
    x = 29,122,656,136.04/211,643.74
  6. Step 6: Final answer
    x = 137,602.25

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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.