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Finding the Fourth Proportional to 128,310, 177,145.56 and 83,675.76

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Solution

The fourth proportional to 128,310, 177,145.56 and 83,675.76 is: 115,523.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,310 : 177,145.56 = 83,675.76 : x
  2. Step 2: Convert to fraction form
    128,310/177,145.56 = 83,675.76/x
  3. Step 3: Cross multiply
    128,310x = 177,145.56 × 83,675.76
  4. Step 4: Simplify right side
    128,310x = 14,822,789,363.63
  5. Step 5: Solve for x
    x = 14,822,789,363.63/128,310
  6. Step 6: Final answer
    x = 115,523.26

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1.5x scale

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.