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Finding the Fourth Proportional to 142,378.22, 196,425.43 and 81,916.32

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Solution

The fourth proportional to 142,378.22, 196,425.43 and 81,916.32 is: 113,012.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,378.22 : 196,425.43 = 81,916.32 : x
  2. Step 2: Convert to fraction form
    142,378.22/196,425.43 = 81,916.32/x
  3. Step 3: Cross multiply
    142,378.22x = 196,425.43 × 81,916.32
  4. Step 4: Simplify right side
    142,378.22x = 16,090,447,970.44
  5. Step 5: Solve for x
    x = 16,090,447,970.44/142,378.22
  6. Step 6: Final answer
    x = 113,012.01

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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.