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Finding the Fourth Proportional to 219,480.64, 302,922.59 and 142,051.73

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Solution

The fourth proportional to 219,480.64, 302,922.59 and 142,051.73 is: 196,056.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,480.64 : 302,922.59 = 142,051.73 : x
  2. Step 2: Convert to fraction form
    219,480.64/302,922.59 = 142,051.73/x
  3. Step 3: Cross multiply
    219,480.64x = 302,922.59 × 142,051.73
  4. Step 4: Simplify right side
    219,480.64x = 43,030,675,740.71
  5. Step 5: Solve for x
    x = 43,030,675,740.71/219,480.64
  6. Step 6: Final answer
    x = 196,056.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.