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Finding the Fourth Proportional to 210,603.94, 315,573.81 and 77,300.80

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Solution

The fourth proportional to 210,603.94, 315,573.81 and 77,300.80 is: 115,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,603.94 : 315,573.81 = 77,300.80 : x
  2. Step 2: Convert to fraction form
    210,603.94/315,573.81 = 77,300.80/x
  3. Step 3: Cross multiply
    210,603.94x = 315,573.81 × 77,300.80
  4. Step 4: Simplify right side
    210,603.94x = 24,394,107,972.05
  5. Step 5: Solve for x
    x = 24,394,107,972.05/210,603.94
  6. Step 6: Final answer
    x = 115,829.30

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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.