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Finding the Fourth Proportional to 137,907.68, 190,300.93 and 77,473.58

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Solution

The fourth proportional to 137,907.68, 190,300.93 and 77,473.58 is: 106,906.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,907.68 : 190,300.93 = 77,473.58 : x
  2. Step 2: Convert to fraction form
    137,907.68/190,300.93 = 77,473.58/x
  3. Step 3: Cross multiply
    137,907.68x = 190,300.93 × 77,473.58
  4. Step 4: Simplify right side
    137,907.68x = 14,743,293,179.24
  5. Step 5: Solve for x
    x = 14,743,293,179.24/137,907.68
  6. Step 6: Final answer
    x = 106,906.98

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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.