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Finding the Fourth Proportional to 76,478.96, 114,715.42 and 26,570.44

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Solution

The fourth proportional to 76,478.96, 114,715.42 and 26,570.44 is: 39,854.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,478.96 : 114,715.42 = 26,570.44 : x
  2. Step 2: Convert to fraction form
    76,478.96/114,715.42 = 26,570.44/x
  3. Step 3: Cross multiply
    76,478.96x = 114,715.42 × 26,570.44
  4. Step 4: Simplify right side
    76,478.96x = 3,048,039,184.18
  5. Step 5: Solve for x
    x = 3,048,039,184.18/76,478.96
  6. Step 6: Final answer
    x = 39,854.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.