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Finding the Fourth Proportional to 144,118.68, 216,209.52 and 44,286

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Solution

The fourth proportional to 144,118.68, 216,209.52 and 44,286 is: 66,438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,118.68 : 216,209.52 = 44,286 : x
  2. Step 2: Convert to fraction form
    144,118.68/216,209.52 = 44,286/x
  3. Step 3: Cross multiply
    144,118.68x = 216,209.52 × 44,286
  4. Step 4: Simplify right side
    144,118.68x = 9,575,054,802.72
  5. Step 5: Solve for x
    x = 9,575,054,802.72/144,118.68
  6. Step 6: Final answer
    x = 66,438.68

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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.