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Finding the Fourth Proportional to 211,416, 317,124 and 53,645.28

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Solution

The fourth proportional to 211,416, 317,124 and 53,645.28 is: 80,467.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,416 : 317,124 = 53,645.28 : x
  2. Step 2: Convert to fraction form
    211,416/317,124 = 53,645.28/x
  3. Step 3: Cross multiply
    211,416x = 317,124 × 53,645.28
  4. Step 4: Simplify right side
    211,416x = 17,012,205,774.72
  5. Step 5: Solve for x
    x = 17,012,205,774.72/211,416
  6. Step 6: Final answer
    x = 80,467.92

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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.