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Finding the Fourth Proportional to 138,564.61, 191,219.30 and 74,902.41

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Solution

The fourth proportional to 138,564.61, 191,219.30 and 74,902.41 is: 103,365.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,564.61 : 191,219.30 = 74,902.41 : x
  2. Step 2: Convert to fraction form
    138,564.61/191,219.30 = 74,902.41/x
  3. Step 3: Cross multiply
    138,564.61x = 191,219.30 × 74,902.41
  4. Step 4: Simplify right side
    138,564.61x = 14,322,786,408.51
  5. Step 5: Solve for x
    x = 14,322,786,408.51/138,564.61
  6. Step 6: Final answer
    x = 103,365.40

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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.