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Finding the Fourth Proportional to 131,823, 181,914.70 and 71,392.25

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Solution

The fourth proportional to 131,823, 181,914.70 and 71,392.25 is: 98,520.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,823 : 181,914.70 = 71,392.25 : x
  2. Step 2: Convert to fraction form
    131,823/181,914.70 = 71,392.25/x
  3. Step 3: Cross multiply
    131,823x = 181,914.70 × 71,392.25
  4. Step 4: Simplify right side
    131,823x = 12,987,299,741.08
  5. Step 5: Solve for x
    x = 12,987,299,741.08/131,823
  6. Step 6: Final answer
    x = 98,520.74

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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.