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Finding the Fourth Proportional to 128,308, 177,142.80 and 83,673.76

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Solution

The fourth proportional to 128,308, 177,142.80 and 83,673.76 is: 115,520.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,308 : 177,142.80 = 83,673.76 : x
  2. Step 2: Convert to fraction form
    128,308/177,142.80 = 83,673.76/x
  3. Step 3: Cross multiply
    128,308x = 177,142.80 × 83,673.76
  4. Step 4: Simplify right side
    128,308x = 14,822,204,132.93
  5. Step 5: Solve for x
    x = 14,822,204,132.93/128,308
  6. Step 6: Final answer
    x = 115,520.50

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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.