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Finding the Fourth Proportional to 210,290.94, 315,440.79 and 75,363.78

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Solution

The fourth proportional to 210,290.94, 315,440.79 and 75,363.78 is: 113,047.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,290.94 : 315,440.79 = 75,363.78 : x
  2. Step 2: Convert to fraction form
    210,290.94/315,440.79 = 75,363.78/x
  3. Step 3: Cross multiply
    210,290.94x = 315,440.79 × 75,363.78
  4. Step 4: Simplify right side
    210,290.94x = 23,772,810,300.59
  5. Step 5: Solve for x
    x = 23,772,810,300.59/210,290.94
  6. Step 6: Final answer
    x = 113,047.24

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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.