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Finding the Fourth Proportional to 100,598.34, 138,825.05 and 55,276.82

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Solution

The fourth proportional to 100,598.34, 138,825.05 and 55,276.82 is: 76,281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,598.34 : 138,825.05 = 55,276.82 : x
  2. Step 2: Convert to fraction form
    100,598.34/138,825.05 = 55,276.82/x
  3. Step 3: Cross multiply
    100,598.34x = 138,825.05 × 55,276.82
  4. Step 4: Simplify right side
    100,598.34x = 7,673,806,329.83
  5. Step 5: Solve for x
    x = 7,673,806,329.83/100,598.34
  6. Step 6: Final answer
    x = 76,281.64

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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.