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Finding the Fourth Proportional to 138,752.21, 191,478.29 and 75,090.06

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Solution

The fourth proportional to 138,752.21, 191,478.29 and 75,090.06 is: 103,624.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,752.21 : 191,478.29 = 75,090.06 : x
  2. Step 2: Convert to fraction form
    138,752.21/191,478.29 = 75,090.06/x
  3. Step 3: Cross multiply
    138,752.21x = 191,478.29 × 75,090.06
  4. Step 4: Simplify right side
    138,752.21x = 14,378,115,909.35
  5. Step 5: Solve for x
    x = 14,378,115,909.35/138,752.21
  6. Step 6: Final answer
    x = 103,624.41

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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.