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Finding the Fourth Proportional to 138,364.81, 190,964.79 and 83,925.92

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Solution

The fourth proportional to 138,364.81, 190,964.79 and 83,925.92 is: 115,830.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,364.81 : 190,964.79 = 83,925.92 : x
  2. Step 2: Convert to fraction form
    138,364.81/190,964.79 = 83,925.92/x
  3. Step 3: Cross multiply
    138,364.81x = 190,964.79 × 83,925.92
  4. Step 4: Simplify right side
    138,364.81x = 16,026,896,165.77
  5. Step 5: Solve for x
    x = 16,026,896,165.77/138,364.81
  6. Step 6: Final answer
    x = 115,830.73

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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.