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Finding the Fourth Proportional to 128,498.14, 177,245.16 and 103,065.54

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Solution

The fourth proportional to 128,498.14, 177,245.16 and 103,065.54 is: 142,164.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,498.14 : 177,245.16 = 103,065.54 : x
  2. Step 2: Convert to fraction form
    128,498.14/177,245.16 = 103,065.54/x
  3. Step 3: Cross multiply
    128,498.14x = 177,245.16 × 103,065.54
  4. Step 4: Simplify right side
    128,498.14x = 18,267,868,127.79
  5. Step 5: Solve for x
    x = 18,267,868,127.79/128,498.14
  6. Step 6: Final answer
    x = 142,164.46

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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.