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Finding the Fourth Proportional to 211,408.79, 317,079.41 and 61,614.02

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Solution

The fourth proportional to 211,408.79, 317,079.41 and 61,614.02 is: 92,411.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,408.79 : 317,079.41 = 61,614.02 : x
  2. Step 2: Convert to fraction form
    211,408.79/317,079.41 = 61,614.02/x
  3. Step 3: Cross multiply
    211,408.79x = 317,079.41 × 61,614.02
  4. Step 4: Simplify right side
    211,408.79x = 19,536,536,156.96
  5. Step 5: Solve for x
    x = 19,536,536,156.96/211,408.79
  6. Step 6: Final answer
    x = 92,411.18

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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.