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Finding the Fourth Proportional to 100,274.56, 138,378.88 and 59,990

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Solution

The fourth proportional to 100,274.56, 138,378.88 and 59,990 is: 82,786.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,274.56 : 138,378.88 = 59,990 : x
  2. Step 2: Convert to fraction form
    100,274.56/138,378.88 = 59,990/x
  3. Step 3: Cross multiply
    100,274.56x = 138,378.88 × 59,990
  4. Step 4: Simplify right side
    100,274.56x = 8,301,349,011.20
  5. Step 5: Solve for x
    x = 8,301,349,011.20/100,274.56
  6. Step 6: Final answer
    x = 82,786.19

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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.