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Finding the Fourth Proportional to 84,211.50, 116,211.90 and 46,485.78

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Solution

The fourth proportional to 84,211.50, 116,211.90 and 46,485.78 is: 64,150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,211.50 : 116,211.90 = 46,485.78 : x
  2. Step 2: Convert to fraction form
    84,211.50/116,211.90 = 46,485.78/x
  3. Step 3: Cross multiply
    84,211.50x = 116,211.90 × 46,485.78
  4. Step 4: Simplify right side
    84,211.50x = 5,402,200,816.78
  5. Step 5: Solve for x
    x = 5,402,200,816.78/84,211.50
  6. Step 6: Final answer
    x = 64,150.39

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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.