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Finding the Fourth Proportional to 142,416, 213,626.88 and 43,920

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Solution

The fourth proportional to 142,416, 213,626.88 and 43,920 is: 65,880.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,416 : 213,626.88 = 43,920 : x
  2. Step 2: Convert to fraction form
    142,416/213,626.88 = 43,920/x
  3. Step 3: Cross multiply
    142,416x = 213,626.88 × 43,920
  4. Step 4: Simplify right side
    142,416x = 9,382,492,569.60
  5. Step 5: Solve for x
    x = 9,382,492,569.60/142,416
  6. Step 6: Final answer
    x = 65,880.89

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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.