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Finding the Fourth Proportional to 128,754, 193,122.36 and 35,260.56

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Solution

The fourth proportional to 128,754, 193,122.36 and 35,260.56 is: 52,888.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,754 : 193,122.36 = 35,260.56 : x
  2. Step 2: Convert to fraction form
    128,754/193,122.36 = 35,260.56/x
  3. Step 3: Cross multiply
    128,754x = 193,122.36 × 35,260.56
  4. Step 4: Simplify right side
    128,754x = 6,809,602,562.12
  5. Step 5: Solve for x
    x = 6,809,602,562.12/128,754
  6. Step 6: Final answer
    x = 52,888.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.