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Finding the Fourth Proportional to 137,697.88, 190,037.64 and 77,284.84

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Solution

The fourth proportional to 137,697.88, 190,037.64 and 77,284.84 is: 106,661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,697.88 : 190,037.64 = 77,284.84 : x
  2. Step 2: Convert to fraction form
    137,697.88/190,037.64 = 77,284.84/x
  3. Step 3: Cross multiply
    137,697.88x = 190,037.64 × 77,284.84
  4. Step 4: Simplify right side
    137,697.88x = 14,687,028,601.38
  5. Step 5: Solve for x
    x = 14,687,028,601.38/137,697.88
  6. Step 6: Final answer
    x = 106,661.25

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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.