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Finding the Fourth Proportional to 138,157.30, 190,656.84 and 77,727.97

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Solution

The fourth proportional to 138,157.30, 190,656.84 and 77,727.97 is: 107,264.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,157.30 : 190,656.84 = 77,727.97 : x
  2. Step 2: Convert to fraction form
    138,157.30/190,656.84 = 77,727.97/x
  3. Step 3: Cross multiply
    138,157.30x = 190,656.84 × 77,727.97
  4. Step 4: Simplify right side
    138,157.30x = 14,819,369,139.81
  5. Step 5: Solve for x
    x = 14,819,369,139.81/138,157.30
  6. Step 6: Final answer
    x = 107,264.47

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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.