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Finding the Fourth Proportional to 138,028.96, 190,478.81 and 77,599.87

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Solution

The fourth proportional to 138,028.96, 190,478.81 and 77,599.87 is: 107,087.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,028.96 : 190,478.81 = 77,599.87 : x
  2. Step 2: Convert to fraction form
    138,028.96/190,478.81 = 77,599.87/x
  3. Step 3: Cross multiply
    138,028.96x = 190,478.81 × 77,599.87
  4. Step 4: Simplify right side
    138,028.96x = 14,781,130,893.75
  5. Step 5: Solve for x
    x = 14,781,130,893.75/138,028.96
  6. Step 6: Final answer
    x = 107,087.17

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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.