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Finding the Fourth Proportional to 100,729, 139,009.08 and 55,404.64

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Solution

The fourth proportional to 100,729, 139,009.08 and 55,404.64 is: 76,460.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,729 : 139,009.08 = 55,404.64 : x
  2. Step 2: Convert to fraction form
    100,729/139,009.08 = 55,404.64/x
  3. Step 3: Cross multiply
    100,729x = 139,009.08 × 55,404.64
  4. Step 4: Simplify right side
    100,729x = 7,701,748,034.13
  5. Step 5: Solve for x
    x = 7,701,748,034.13/100,729
  6. Step 6: Final answer
    x = 76,460.09

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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.