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Finding the Fourth Proportional to 128,876.16, 177,812.64 and 83,556

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Solution

The fourth proportional to 128,876.16, 177,812.64 and 83,556 is: 115,283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,876.16 : 177,812.64 = 83,556 : x
  2. Step 2: Convert to fraction form
    128,876.16/177,812.64 = 83,556/x
  3. Step 3: Cross multiply
    128,876.16x = 177,812.64 × 83,556
  4. Step 4: Simplify right side
    128,876.16x = 14,857,312,947.84
  5. Step 5: Solve for x
    x = 14,857,312,947.84/128,876.16
  6. Step 6: Final answer
    x = 115,283.64

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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.