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Finding the Fourth Proportional to 139,241.16, 208,388.34 and 85,966.74

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Solution

The fourth proportional to 139,241.16, 208,388.34 and 85,966.74 is: 128,657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,241.16 : 208,388.34 = 85,966.74 : x
  2. Step 2: Convert to fraction form
    139,241.16/208,388.34 = 85,966.74/x
  3. Step 3: Cross multiply
    139,241.16x = 208,388.34 × 85,966.74
  4. Step 4: Simplify right side
    139,241.16x = 17,914,466,243.81
  5. Step 5: Solve for x
    x = 17,914,466,243.81/139,241.16
  6. Step 6: Final answer
    x = 128,657.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.