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Finding the Fourth Proportional to 144,838.40, 217,257.60 and 61,721.60

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Solution

The fourth proportional to 144,838.40, 217,257.60 and 61,721.60 is: 92,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,838.40 : 217,257.60 = 61,721.60 : x
  2. Step 2: Convert to fraction form
    144,838.40/217,257.60 = 61,721.60/x
  3. Step 3: Cross multiply
    144,838.40x = 217,257.60 × 61,721.60
  4. Step 4: Simplify right side
    144,838.40x = 13,409,486,684.16
  5. Step 5: Solve for x
    x = 13,409,486,684.16/144,838.40
  6. Step 6: Final answer
    x = 92,582.40

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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.