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Finding the Fourth Proportional to 77,231.78, 106,524.86 and 70,878.88

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Solution

The fourth proportional to 77,231.78, 106,524.86 and 70,878.88 is: 97,762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,231.78 : 106,524.86 = 70,878.88 : x
  2. Step 2: Convert to fraction form
    77,231.78/106,524.86 = 70,878.88/x
  3. Step 3: Cross multiply
    77,231.78x = 106,524.86 × 70,878.88
  4. Step 4: Simplify right side
    77,231.78x = 7,550,362,768.96
  5. Step 5: Solve for x
    x = 7,550,362,768.96/77,231.78
  6. Step 6: Final answer
    x = 97,762.38

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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.