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Finding the Fourth Proportional to 76,309.84, 105,340.48 and 71,527.60

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Solution

The fourth proportional to 76,309.84, 105,340.48 and 71,527.60 is: 98,738.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,309.84 : 105,340.48 = 71,527.60 : x
  2. Step 2: Convert to fraction form
    76,309.84/105,340.48 = 71,527.60/x
  3. Step 3: Cross multiply
    76,309.84x = 105,340.48 × 71,527.60
  4. Step 4: Simplify right side
    76,309.84x = 7,534,751,717.25
  5. Step 5: Solve for x
    x = 7,534,751,717.25/76,309.84
  6. Step 6: Final answer
    x = 98,738.93

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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.