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Finding the Fourth Proportional to 76,014, 104,905.80 and 42,486.48

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Solution

The fourth proportional to 76,014, 104,905.80 and 42,486.48 is: 58,634.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,014 : 104,905.80 = 42,486.48 : x
  2. Step 2: Convert to fraction form
    76,014/104,905.80 = 42,486.48/x
  3. Step 3: Cross multiply
    76,014x = 104,905.80 × 42,486.48
  4. Step 4: Simplify right side
    76,014x = 4,457,078,173.58
  5. Step 5: Solve for x
    x = 4,457,078,173.58/76,014
  6. Step 6: Final answer
    x = 58,634.96

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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.