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Finding the Fourth Proportional to 76,770.03, 105,939.16 and 42,782.23

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Solution

The fourth proportional to 76,770.03, 105,939.16 and 42,782.23 is: 59,037.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,770.03 : 105,939.16 = 42,782.23 : x
  2. Step 2: Convert to fraction form
    76,770.03/105,939.16 = 42,782.23/x
  3. Step 3: Cross multiply
    76,770.03x = 105,939.16 × 42,782.23
  4. Step 4: Simplify right side
    76,770.03x = 4,532,313,509.13
  5. Step 5: Solve for x
    x = 4,532,313,509.13/76,770.03
  6. Step 6: Final answer
    x = 59,037.54

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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.