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Finding the Fourth Proportional to 142,368.96, 196,463.88 and 81,959.16

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Solution

The fourth proportional to 142,368.96, 196,463.88 and 81,959.16 is: 113,100.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,368.96 : 196,463.88 = 81,959.16 : x
  2. Step 2: Convert to fraction form
    142,368.96/196,463.88 = 81,959.16/x
  3. Step 3: Cross multiply
    142,368.96x = 196,463.88 × 81,959.16
  4. Step 4: Simplify right side
    142,368.96x = 16,102,014,575.14
  5. Step 5: Solve for x
    x = 16,102,014,575.14/142,368.96
  6. Step 6: Final answer
    x = 113,100.60

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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.