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Finding the Fourth Proportional to 138,287.72, 190,840.38 and 77,860.38

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Solution

The fourth proportional to 138,287.72, 190,840.38 and 77,860.38 is: 107,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,287.72 : 190,840.38 = 77,860.38 : x
  2. Step 2: Convert to fraction form
    138,287.72/190,840.38 = 77,860.38/x
  3. Step 3: Cross multiply
    138,287.72x = 190,840.38 × 77,860.38
  4. Step 4: Simplify right side
    138,287.72x = 14,858,904,506.14
  5. Step 5: Solve for x
    x = 14,858,904,506.14/138,287.72
  6. Step 6: Final answer
    x = 107,449.20

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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.