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Finding the Fourth Proportional to 210,098.25, 315,150.12 and 69,856.88

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Solution

The fourth proportional to 210,098.25, 315,150.12 and 69,856.88 is: 104,786.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,098.25 : 315,150.12 = 69,856.88 : x
  2. Step 2: Convert to fraction form
    210,098.25/315,150.12 = 69,856.88/x
  3. Step 3: Cross multiply
    210,098.25x = 315,150.12 × 69,856.88
  4. Step 4: Simplify right side
    210,098.25x = 22,015,402,539.08
  5. Step 5: Solve for x
    x = 22,015,402,539.08/210,098.25
  6. Step 6: Final answer
    x = 104,786.23

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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.