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Finding the Fourth Proportional to 212,871.75, 293,756.72 and 117,378.42

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Solution

The fourth proportional to 212,871.75, 293,756.72 and 117,378.42 is: 161,978.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,871.75 : 293,756.72 = 117,378.42 : x
  2. Step 2: Convert to fraction form
    212,871.75/293,756.72 = 117,378.42/x
  3. Step 3: Cross multiply
    212,871.75x = 293,756.72 × 117,378.42
  4. Step 4: Simplify right side
    212,871.75x = 34,480,699,657.98
  5. Step 5: Solve for x
    x = 34,480,699,657.98/212,871.75
  6. Step 6: Final answer
    x = 161,978.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.