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Finding the Fourth Proportional to 138,080.96, 190,549.91 and 77,651.58

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Solution

The fourth proportional to 138,080.96, 190,549.91 and 77,651.58 is: 107,158.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,080.96 : 190,549.91 = 77,651.58 : x
  2. Step 2: Convert to fraction form
    138,080.96/190,549.91 = 77,651.58/x
  3. Step 3: Cross multiply
    138,080.96x = 190,549.91 × 77,651.58
  4. Step 4: Simplify right side
    138,080.96x = 14,796,502,489.05
  5. Step 5: Solve for x
    x = 14,796,502,489.05/138,080.96
  6. Step 6: Final answer
    x = 107,158.17

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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.