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Finding the Fourth Proportional to 219,421.76, 302,802.24 and 123,928.64

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Solution

The fourth proportional to 219,421.76, 302,802.24 and 123,928.64 is: 171,021.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,421.76 : 302,802.24 = 123,928.64 : x
  2. Step 2: Convert to fraction form
    219,421.76/302,802.24 = 123,928.64/x
  3. Step 3: Cross multiply
    219,421.76x = 302,802.24 × 123,928.64
  4. Step 4: Simplify right side
    219,421.76x = 37,525,869,792.15
  5. Step 5: Solve for x
    x = 37,525,869,792.15/219,421.76
  6. Step 6: Final answer
    x = 171,021.64

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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.