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Finding the Fourth Proportional to 138,842.95, 191,602.99 and 75,180.94

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Solution

The fourth proportional to 138,842.95, 191,602.99 and 75,180.94 is: 103,749.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,842.95 : 191,602.99 = 75,180.94 : x
  2. Step 2: Convert to fraction form
    138,842.95/191,602.99 = 75,180.94/x
  3. Step 3: Cross multiply
    138,842.95x = 191,602.99 × 75,180.94
  4. Step 4: Simplify right side
    138,842.95x = 14,404,892,895.01
  5. Step 5: Solve for x
    x = 14,404,892,895.01/138,842.95
  6. Step 6: Final answer
    x = 103,749.55

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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.