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Finding the Fourth Proportional to 128,589.39, 177,412.32 and 83,302.08

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Solution

The fourth proportional to 128,589.39, 177,412.32 and 83,302.08 is: 114,930.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,589.39 : 177,412.32 = 83,302.08 : x
  2. Step 2: Convert to fraction form
    128,589.39/177,412.32 = 83,302.08/x
  3. Step 3: Cross multiply
    128,589.39x = 177,412.32 × 83,302.08
  4. Step 4: Simplify right side
    128,589.39x = 14,778,815,273.63
  5. Step 5: Solve for x
    x = 14,778,815,273.63/128,589.39
  6. Step 6: Final answer
    x = 114,930.29

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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.