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Finding the Fourth Proportional to 142,920, 214,478.28 and 49,425.84

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Solution

The fourth proportional to 142,920, 214,478.28 and 49,425.84 is: 74,172.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,920 : 214,478.28 = 49,425.84 : x
  2. Step 2: Convert to fraction form
    142,920/214,478.28 = 49,425.84/x
  3. Step 3: Cross multiply
    142,920x = 214,478.28 × 49,425.84
  4. Step 4: Simplify right side
    142,920x = 10,600,769,150.76
  5. Step 5: Solve for x
    x = 10,600,769,150.76/142,920
  6. Step 6: Final answer
    x = 74,172.75

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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.