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Finding the Fourth Proportional to 128,506, 177,431.82 and 103,151.83

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Solution

The fourth proportional to 128,506, 177,431.82 and 103,151.83 is: 142,424.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,506 : 177,431.82 = 103,151.83 : x
  2. Step 2: Convert to fraction form
    128,506/177,431.82 = 103,151.83/x
  3. Step 3: Cross multiply
    128,506x = 177,431.82 × 103,151.83
  4. Step 4: Simplify right side
    128,506x = 18,302,416,933.23
  5. Step 5: Solve for x
    x = 18,302,416,933.23/128,506
  6. Step 6: Final answer
    x = 142,424.61

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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.