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Finding the Fourth Proportional to 144,466.72, 216,462.94 and 138,929.96

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Solution

The fourth proportional to 144,466.72, 216,462.94 and 138,929.96 is: 208,166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,466.72 : 216,462.94 = 138,929.96 : x
  2. Step 2: Convert to fraction form
    144,466.72/216,462.94 = 138,929.96/x
  3. Step 3: Cross multiply
    144,466.72x = 216,462.94 × 138,929.96
  4. Step 4: Simplify right side
    144,466.72x = 30,073,187,595.68
  5. Step 5: Solve for x
    x = 30,073,187,595.68/144,466.72
  6. Step 6: Final answer
    x = 208,166.89

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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.