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Finding the Fourth Proportional to 231,186, 346,779 and 64,974

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Solution

The fourth proportional to 231,186, 346,779 and 64,974 is: 97,461

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,186 : 346,779 = 64,974 : x
  2. Step 2: Convert to fraction form
    231,186/346,779 = 64,974/x
  3. Step 3: Cross multiply
    231,186x = 346,779 × 64,974
  4. Step 4: Simplify right side
    231,186x = 22,531,618,746
  5. Step 5: Solve for x
    x = 22,531,618,746/231,186
  6. Step 6: Final answer
    x = 97,461

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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.