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Finding the Fourth Proportional to 138,649.49, 191,336.30 and 74,987.30

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Solution

The fourth proportional to 138,649.49, 191,336.30 and 74,987.30 is: 103,482.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,649.49 : 191,336.30 = 74,987.30 : x
  2. Step 2: Convert to fraction form
    138,649.49/191,336.30 = 74,987.30/x
  3. Step 3: Cross multiply
    138,649.49x = 191,336.30 × 74,987.30
  4. Step 4: Simplify right side
    138,649.49x = 14,347,791,197.37
  5. Step 5: Solve for x
    x = 14,347,791,197.37/138,649.49
  6. Step 6: Final answer
    x = 103,482.46

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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.