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Finding the Fourth Proportional to 81,433.70, 112,331.92 and 47,438.60

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Solution

The fourth proportional to 81,433.70, 112,331.92 and 47,438.60 is: 65,438.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,433.70 : 112,331.92 = 47,438.60 : x
  2. Step 2: Convert to fraction form
    81,433.70/112,331.92 = 47,438.60/x
  3. Step 3: Cross multiply
    81,433.70x = 112,331.92 × 47,438.60
  4. Step 4: Simplify right side
    81,433.70x = 5,328,868,782.92
  5. Step 5: Solve for x
    x = 5,328,868,782.92/81,433.70
  6. Step 6: Final answer
    x = 65,438.13

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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.