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Finding the Fourth Proportional to 145,083.48, 217,668.45 and 69,238.96

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Solution

The fourth proportional to 145,083.48, 217,668.45 and 69,238.96 is: 103,879.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,083.48 : 217,668.45 = 69,238.96 : x
  2. Step 2: Convert to fraction form
    145,083.48/217,668.45 = 69,238.96/x
  3. Step 3: Cross multiply
    145,083.48x = 217,668.45 × 69,238.96
  4. Step 4: Simplify right side
    145,083.48x = 15,071,137,102.81
  5. Step 5: Solve for x
    x = 15,071,137,102.81/145,083.48
  6. Step 6: Final answer
    x = 103,879.07

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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.