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Finding the Fourth Proportional to 86,984, 120,039.36 and 47,240

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Solution

The fourth proportional to 86,984, 120,039.36 and 47,240 is: 65,191.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,984 : 120,039.36 = 47,240 : x
  2. Step 2: Convert to fraction form
    86,984/120,039.36 = 47,240/x
  3. Step 3: Cross multiply
    86,984x = 120,039.36 × 47,240
  4. Step 4: Simplify right side
    86,984x = 5,670,659,366.40
  5. Step 5: Solve for x
    x = 5,670,659,366.40/86,984
  6. Step 6: Final answer
    x = 65,191.98

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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.