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Finding the Fourth Proportional to 142,903.58, 197,192.73 and 82,493.68

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Solution

The fourth proportional to 142,903.58, 197,192.73 and 82,493.68 is: 113,833.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,903.58 : 197,192.73 = 82,493.68 : x
  2. Step 2: Convert to fraction form
    142,903.58/197,192.73 = 82,493.68/x
  3. Step 3: Cross multiply
    142,903.58x = 197,192.73 × 82,493.68
  4. Step 4: Simplify right side
    142,903.58x = 16,267,153,966.95
  5. Step 5: Solve for x
    x = 16,267,153,966.95/142,903.58
  6. Step 6: Final answer
    x = 113,833.08

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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.