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Finding the Fourth Proportional to 79,178, 109,262.44 and 47,364.48

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Solution

The fourth proportional to 79,178, 109,262.44 and 47,364.48 is: 65,361.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,178 : 109,262.44 = 47,364.48 : x
  2. Step 2: Convert to fraction form
    79,178/109,262.44 = 47,364.48/x
  3. Step 3: Cross multiply
    79,178x = 109,262.44 × 47,364.48
  4. Step 4: Simplify right side
    79,178x = 5,175,158,654.13
  5. Step 5: Solve for x
    x = 5,175,158,654.13/79,178
  6. Step 6: Final answer
    x = 65,361.07

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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.