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Finding the Fourth Proportional to 79,235, 109,344.30 and 47,405.24

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Solution

The fourth proportional to 79,235, 109,344.30 and 47,405.24 is: 65,419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,235 : 109,344.30 = 47,405.24 : x
  2. Step 2: Convert to fraction form
    79,235/109,344.30 = 47,405.24/x
  3. Step 3: Cross multiply
    79,235x = 109,344.30 × 47,405.24
  4. Step 4: Simplify right side
    79,235x = 5,183,492,784.13
  5. Step 5: Solve for x
    x = 5,183,492,784.13/79,235
  6. Step 6: Final answer
    x = 65,419.23

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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.