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Finding the Fourth Proportional to 61,674, 85,121.64 and 35,178

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Solution

The fourth proportional to 61,674, 85,121.64 and 35,178 is: 48,552.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,674 : 85,121.64 = 35,178 : x
  2. Step 2: Convert to fraction form
    61,674/85,121.64 = 35,178/x
  3. Step 3: Cross multiply
    61,674x = 85,121.64 × 35,178
  4. Step 4: Simplify right side
    61,674x = 2,994,409,051.92
  5. Step 5: Solve for x
    x = 2,994,409,051.92/61,674
  6. Step 6: Final answer
    x = 48,552.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.