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Finding the Fourth Proportional to 82,307.82, 123,368.40 and 37,842.78

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Solution

The fourth proportional to 82,307.82, 123,368.40 and 37,842.78 is: 56,721.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,307.82 : 123,368.40 = 37,842.78 : x
  2. Step 2: Convert to fraction form
    82,307.82/123,368.40 = 37,842.78/x
  3. Step 3: Cross multiply
    82,307.82x = 123,368.40 × 37,842.78
  4. Step 4: Simplify right side
    82,307.82x = 4,668,603,220.15
  5. Step 5: Solve for x
    x = 4,668,603,220.15/82,307.82
  6. Step 6: Final answer
    x = 56,721.26

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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.