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Finding the Fourth Proportional to 210,812.10, 316,218.15 and 105,836.10

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Solution

The fourth proportional to 210,812.10, 316,218.15 and 105,836.10 is: 158,754.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,812.10 : 316,218.15 = 105,836.10 : x
  2. Step 2: Convert to fraction form
    210,812.10/316,218.15 = 105,836.10/x
  3. Step 3: Cross multiply
    210,812.10x = 316,218.15 × 105,836.10
  4. Step 4: Simplify right side
    210,812.10x = 33,467,295,745.22
  5. Step 5: Solve for x
    x = 33,467,295,745.22/210,812.10
  6. Step 6: Final answer
    x = 158,754.15

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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.