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Finding the Fourth Proportional to 211,407, 317,076.72 and 61,612.26

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Solution

The fourth proportional to 211,407, 317,076.72 and 61,612.26 is: 92,408.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,407 : 317,076.72 = 61,612.26 : x
  2. Step 2: Convert to fraction form
    211,407/317,076.72 = 61,612.26/x
  3. Step 3: Cross multiply
    211,407x = 317,076.72 × 61,612.26
  4. Step 4: Simplify right side
    211,407x = 19,535,813,312.59
  5. Step 5: Solve for x
    x = 19,535,813,312.59/211,407
  6. Step 6: Final answer
    x = 92,408.55

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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.