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Finding the Fourth Proportional to 137,608.76, 189,907.76 and 103,556

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Solution

The fourth proportional to 137,608.76, 189,907.76 and 103,556 is: 142,913.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,608.76 : 189,907.76 = 103,556 : x
  2. Step 2: Convert to fraction form
    137,608.76/189,907.76 = 103,556/x
  3. Step 3: Cross multiply
    137,608.76x = 189,907.76 × 103,556
  4. Step 4: Simplify right side
    137,608.76x = 19,666,087,994.56
  5. Step 5: Solve for x
    x = 19,666,087,994.56/137,608.76
  6. Step 6: Final answer
    x = 142,913.05

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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.