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Finding the Fourth Proportional to 211,737.72, 317,191.38 and 122,804.40

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Solution

The fourth proportional to 211,737.72, 317,191.38 and 122,804.40 is: 183,965.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,737.72 : 317,191.38 = 122,804.40 : x
  2. Step 2: Convert to fraction form
    211,737.72/317,191.38 = 122,804.40/x
  3. Step 3: Cross multiply
    211,737.72x = 317,191.38 × 122,804.40
  4. Step 4: Simplify right side
    211,737.72x = 38,952,497,106.07
  5. Step 5: Solve for x
    x = 38,952,497,106.07/211,737.72
  6. Step 6: Final answer
    x = 183,965.79

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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.