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Finding the Fourth Proportional to 100,257.89, 138,354.06 and 59,449.47

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Solution

The fourth proportional to 100,257.89, 138,354.06 and 59,449.47 is: 82,039.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,257.89 : 138,354.06 = 59,449.47 : x
  2. Step 2: Convert to fraction form
    100,257.89/138,354.06 = 59,449.47/x
  3. Step 3: Cross multiply
    100,257.89x = 138,354.06 × 59,449.47
  4. Step 4: Simplify right side
    100,257.89x = 8,225,075,539.35
  5. Step 5: Solve for x
    x = 8,225,075,539.35/100,257.89
  6. Step 6: Final answer
    x = 82,039.19

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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.