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Finding the Fourth Proportional to 76,241.50, 105,213.30 and 42,707.50

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Solution

The fourth proportional to 76,241.50, 105,213.30 and 42,707.50 is: 58,936.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,241.50 : 105,213.30 = 42,707.50 : x
  2. Step 2: Convert to fraction form
    76,241.50/105,213.30 = 42,707.50/x
  3. Step 3: Cross multiply
    76,241.50x = 105,213.30 × 42,707.50
  4. Step 4: Simplify right side
    76,241.50x = 4,493,397,009.75
  5. Step 5: Solve for x
    x = 4,493,397,009.75/76,241.50
  6. Step 6: Final answer
    x = 58,936.37

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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.