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Finding the Fourth Proportional to 100,598.25, 138,828.06 and 55,275.87

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Solution

The fourth proportional to 100,598.25, 138,828.06 and 55,275.87 is: 76,282.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,598.25 : 138,828.06 = 55,275.87 : x
  2. Step 2: Convert to fraction form
    100,598.25/138,828.06 = 55,275.87/x
  3. Step 3: Cross multiply
    100,598.25x = 138,828.06 × 55,275.87
  4. Step 4: Simplify right side
    100,598.25x = 7,673,841,796.91
  5. Step 5: Solve for x
    x = 7,673,841,796.91/100,598.25
  6. Step 6: Final answer
    x = 76,282.06

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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.