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Finding the Fourth Proportional to 76,778.36, 105,952.36 and 42,786.68

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Solution

The fourth proportional to 76,778.36, 105,952.36 and 42,786.68 is: 59,044.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,778.36 : 105,952.36 = 42,786.68 : x
  2. Step 2: Convert to fraction form
    76,778.36/105,952.36 = 42,786.68/x
  3. Step 3: Cross multiply
    76,778.36x = 105,952.36 × 42,786.68
  4. Step 4: Simplify right side
    76,778.36x = 4,533,349,722.56
  5. Step 5: Solve for x
    x = 4,533,349,722.56/76,778.36
  6. Step 6: Final answer
    x = 59,044.63

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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.