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Finding the Fourth Proportional to 138,575, 191,219.20 and 102,295.76

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Solution

The fourth proportional to 138,575, 191,219.20 and 102,295.76 is: 141,157.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,575 : 191,219.20 = 102,295.76 : x
  2. Step 2: Convert to fraction form
    138,575/191,219.20 = 102,295.76/x
  3. Step 3: Cross multiply
    138,575x = 191,219.20 × 102,295.76
  4. Step 4: Simplify right side
    138,575x = 19,560,913,390.59
  5. Step 5: Solve for x
    x = 19,560,913,390.59/138,575
  6. Step 6: Final answer
    x = 141,157.59

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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.