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Finding the Fourth Proportional to 115,438.16, 173,143.80 and 31,194.32

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Solution

The fourth proportional to 115,438.16, 173,143.80 and 31,194.32 is: 46,787.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,438.16 : 173,143.80 = 31,194.32 : x
  2. Step 2: Convert to fraction form
    115,438.16/173,143.80 = 31,194.32/x
  3. Step 3: Cross multiply
    115,438.16x = 173,143.80 × 31,194.32
  4. Step 4: Simplify right side
    115,438.16x = 5,401,103,103.22
  5. Step 5: Solve for x
    x = 5,401,103,103.22/115,438.16
  6. Step 6: Final answer
    x = 46,787.85

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1.5x scale

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.