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Finding the Fourth Proportional to 76,767.96, 105,975.36 and 54,125.40

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Solution

The fourth proportional to 76,767.96, 105,975.36 and 54,125.40 is: 74,718.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,767.96 : 105,975.36 = 54,125.40 : x
  2. Step 2: Convert to fraction form
    76,767.96/105,975.36 = 54,125.40/x
  3. Step 3: Cross multiply
    76,767.96x = 105,975.36 × 54,125.40
  4. Step 4: Simplify right side
    76,767.96x = 5,735,958,750.14
  5. Step 5: Solve for x
    x = 5,735,958,750.14/76,767.96
  6. Step 6: Final answer
    x = 74,718.13

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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.