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Finding the Fourth Proportional to 210,314.88, 315,209.88 and 105,163.92

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Solution

The fourth proportional to 210,314.88, 315,209.88 and 105,163.92 is: 157,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,314.88 : 315,209.88 = 105,163.92 : x
  2. Step 2: Convert to fraction form
    210,314.88/315,209.88 = 105,163.92/x
  3. Step 3: Cross multiply
    210,314.88x = 315,209.88 × 105,163.92
  4. Step 4: Simplify right side
    210,314.88x = 33,148,706,603.53
  5. Step 5: Solve for x
    x = 33,148,706,603.53/210,314.88
  6. Step 6: Final answer
    x = 157,614.65

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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.