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Finding the Fourth Proportional to 128,802.60, 193,181.76 and 34,033.80

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Solution

The fourth proportional to 128,802.60, 193,181.76 and 34,033.80 is: 51,044.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,802.60 : 193,181.76 = 34,033.80 : x
  2. Step 2: Convert to fraction form
    128,802.60/193,181.76 = 34,033.80/x
  3. Step 3: Cross multiply
    128,802.60x = 193,181.76 × 34,033.80
  4. Step 4: Simplify right side
    128,802.60x = 6,574,709,383.49
  5. Step 5: Solve for x
    x = 6,574,709,383.49/128,802.60
  6. Step 6: Final answer
    x = 51,044.85

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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.