Home / 76,538.25-114,701.67-42,822

Finding the Fourth Proportional to 76,538.25, 114,701.67 and 42,822

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Solution

The fourth proportional to 76,538.25, 114,701.67 and 42,822 is: 64,173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,538.25 : 114,701.67 = 42,822 : x
  2. Step 2: Convert to fraction form
    76,538.25/114,701.67 = 42,822/x
  3. Step 3: Cross multiply
    76,538.25x = 114,701.67 × 42,822
  4. Step 4: Simplify right side
    76,538.25x = 4,911,754,912.74
  5. Step 5: Solve for x
    x = 4,911,754,912.74/76,538.25
  6. Step 6: Final answer
    x = 64,173.86

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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.