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Finding the Fourth Proportional to 210,993.90, 316,643.37 and 82,929.30

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Solution

The fourth proportional to 210,993.90, 316,643.37 and 82,929.30 is: 124,453.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,993.90 : 316,643.37 = 82,929.30 : x
  2. Step 2: Convert to fraction form
    210,993.90/316,643.37 = 82,929.30/x
  3. Step 3: Cross multiply
    210,993.90x = 316,643.37 × 82,929.30
  4. Step 4: Simplify right side
    210,993.90x = 26,259,013,023.74
  5. Step 5: Solve for x
    x = 26,259,013,023.74/210,993.90
  6. Step 6: Final answer
    x = 124,453.90

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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.