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Finding the Fourth Proportional to 76,670.74, 105,805.60 and 42,678.49

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Solution

The fourth proportional to 76,670.74, 105,805.60 and 42,678.49 is: 58,896.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,670.74 : 105,805.60 = 42,678.49 : x
  2. Step 2: Convert to fraction form
    76,670.74/105,805.60 = 42,678.49/x
  3. Step 3: Cross multiply
    76,670.74x = 105,805.60 × 42,678.49
  4. Step 4: Simplify right side
    76,670.74x = 4,515,623,241.54
  5. Step 5: Solve for x
    x = 4,515,623,241.54/76,670.74
  6. Step 6: Final answer
    x = 58,896.30

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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.