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Finding the Fourth Proportional to 130,958, 196,441.88 and 42,212.80

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Solution

The fourth proportional to 130,958, 196,441.88 and 42,212.80 is: 63,320.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,958 : 196,441.88 = 42,212.80 : x
  2. Step 2: Convert to fraction form
    130,958/196,441.88 = 42,212.80/x
  3. Step 3: Cross multiply
    130,958x = 196,441.88 × 42,212.80
  4. Step 4: Simplify right side
    130,958x = 8,292,361,792.06
  5. Step 5: Solve for x
    x = 8,292,361,792.06/130,958
  6. Step 6: Final answer
    x = 63,320.77

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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.