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Finding the Fourth Proportional to 138,907.84, 208,142.88 and 107,394.80

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Solution

The fourth proportional to 138,907.84, 208,142.88 and 107,394.80 is: 160,922.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,907.84 : 208,142.88 = 107,394.80 : x
  2. Step 2: Convert to fraction form
    138,907.84/208,142.88 = 107,394.80/x
  3. Step 3: Cross multiply
    138,907.84x = 208,142.88 × 107,394.80
  4. Step 4: Simplify right side
    138,907.84x = 22,353,462,969.02
  5. Step 5: Solve for x
    x = 22,353,462,969.02/138,907.84
  6. Step 6: Final answer
    x = 160,922.98

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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.