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Finding the Fourth Proportional to 211,516, 317,242.77 and 61,716.09

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Solution

The fourth proportional to 211,516, 317,242.77 and 61,716.09 is: 92,565.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,516 : 317,242.77 = 61,716.09 : x
  2. Step 2: Convert to fraction form
    211,516/317,242.77 = 61,716.09/x
  3. Step 3: Cross multiply
    211,516x = 317,242.77 × 61,716.09
  4. Step 4: Simplify right side
    211,516x = 19,578,983,345.17
  5. Step 5: Solve for x
    x = 19,578,983,345.17/211,516
  6. Step 6: Final answer
    x = 92,565.02

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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.