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Finding the Fourth Proportional to 76,640.80, 105,767.76 and 43,106.80

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Solution

The fourth proportional to 76,640.80, 105,767.76 and 43,106.80 is: 59,489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,640.80 : 105,767.76 = 43,106.80 : x
  2. Step 2: Convert to fraction form
    76,640.80/105,767.76 = 43,106.80/x
  3. Step 3: Cross multiply
    76,640.80x = 105,767.76 × 43,106.80
  4. Step 4: Simplify right side
    76,640.80x = 4,559,309,676.77
  5. Step 5: Solve for x
    x = 4,559,309,676.77/76,640.80
  6. Step 6: Final answer
    x = 59,489.33

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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.