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Finding the Fourth Proportional to 210,403.98, 315,657 and 70,173.54

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Solution

The fourth proportional to 210,403.98, 315,657 and 70,173.54 is: 105,277.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,403.98 : 315,657 = 70,173.54 : x
  2. Step 2: Convert to fraction form
    210,403.98/315,657 = 70,173.54/x
  3. Step 3: Cross multiply
    210,403.98x = 315,657 × 70,173.54
  4. Step 4: Simplify right side
    210,403.98x = 22,150,769,115.78
  5. Step 5: Solve for x
    x = 22,150,769,115.78/210,403.98
  6. Step 6: Final answer
    x = 105,277.33

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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.