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Finding the Fourth Proportional to 258,291.72, 386,715.87 and 139,537.62

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Solution

The fourth proportional to 258,291.72, 386,715.87 and 139,537.62 is: 208,916.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,291.72 : 386,715.87 = 139,537.62 : x
  2. Step 2: Convert to fraction form
    258,291.72/386,715.87 = 139,537.62/x
  3. Step 3: Cross multiply
    258,291.72x = 386,715.87 × 139,537.62
  4. Step 4: Simplify right side
    258,291.72x = 53,961,412,116.03
  5. Step 5: Solve for x
    x = 53,961,412,116.03/258,291.72
  6. Step 6: Final answer
    x = 208,916.54

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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.