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Finding the Fourth Proportional to 144,243, 216,392.40 and 44,385.48

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Solution

The fourth proportional to 144,243, 216,392.40 and 44,385.48 is: 66,586.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,243 : 216,392.40 = 44,385.48 : x
  2. Step 2: Convert to fraction form
    144,243/216,392.40 = 44,385.48/x
  3. Step 3: Cross multiply
    144,243x = 216,392.40 × 44,385.48
  4. Step 4: Simplify right side
    144,243x = 9,604,680,542.35
  5. Step 5: Solve for x
    x = 9,604,680,542.35/144,243
  6. Step 6: Final answer
    x = 66,586.81

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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.