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Finding the Fourth Proportional to 138,158.94, 190,644.93 and 77,724.45

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Solution

The fourth proportional to 138,158.94, 190,644.93 and 77,724.45 is: 107,251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,158.94 : 190,644.93 = 77,724.45 : x
  2. Step 2: Convert to fraction form
    138,158.94/190,644.93 = 77,724.45/x
  3. Step 3: Cross multiply
    138,158.94x = 190,644.93 × 77,724.45
  4. Step 4: Simplify right side
    138,158.94x = 14,817,772,329.54
  5. Step 5: Solve for x
    x = 14,817,772,329.54/138,158.94
  6. Step 6: Final answer
    x = 107,251.64

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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.