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Finding the Fourth Proportional to 138,322.41, 190,883.06 and 77,893.80

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Solution

The fourth proportional to 138,322.41, 190,883.06 and 77,893.80 is: 107,492.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,322.41 : 190,883.06 = 77,893.80 : x
  2. Step 2: Convert to fraction form
    138,322.41/190,883.06 = 77,893.80/x
  3. Step 3: Cross multiply
    138,322.41x = 190,883.06 × 77,893.80
  4. Step 4: Simplify right side
    138,322.41x = 14,868,606,509.56
  5. Step 5: Solve for x
    x = 14,868,606,509.56/138,322.41
  6. Step 6: Final answer
    x = 107,492.39

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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.