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Finding the Fourth Proportional to 138,294.63, 190,830.81 and 77,863.71

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Solution

The fourth proportional to 138,294.63, 190,830.81 and 77,863.71 is: 107,443.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,294.63 : 190,830.81 = 77,863.71 : x
  2. Step 2: Convert to fraction form
    138,294.63/190,830.81 = 77,863.71/x
  3. Step 3: Cross multiply
    138,294.63x = 190,830.81 × 77,863.71
  4. Step 4: Simplify right side
    138,294.63x = 14,858,794,848.91
  5. Step 5: Solve for x
    x = 14,858,794,848.91/138,294.63
  6. Step 6: Final answer
    x = 107,443.04

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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.