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Finding the Fourth Proportional to 138,404.71, 190,978.18 and 77,963.32

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Solution

The fourth proportional to 138,404.71, 190,978.18 and 77,963.32 is: 107,577.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,404.71 : 190,978.18 = 77,963.32 : x
  2. Step 2: Convert to fraction form
    138,404.71/190,978.18 = 77,963.32/x
  3. Step 3: Cross multiply
    138,404.71x = 190,978.18 × 77,963.32
  4. Step 4: Simplify right side
    138,404.71x = 14,889,292,960.36
  5. Step 5: Solve for x
    x = 14,889,292,960.36/138,404.71
  6. Step 6: Final answer
    x = 107,577.94

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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.