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Finding the Fourth Proportional to 82,409.69, 113,521.80 and 70,270.65

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Solution

The fourth proportional to 82,409.69, 113,521.80 and 70,270.65 is: 96,799.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,409.69 : 113,521.80 = 70,270.65 : x
  2. Step 2: Convert to fraction form
    82,409.69/113,521.80 = 70,270.65/x
  3. Step 3: Cross multiply
    82,409.69x = 113,521.80 × 70,270.65
  4. Step 4: Simplify right side
    82,409.69x = 7,977,250,675.17
  5. Step 5: Solve for x
    x = 7,977,250,675.17/82,409.69
  6. Step 6: Final answer
    x = 96,799.91

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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.