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Finding the Fourth Proportional to 149,960.60, 224,904.90 and 86,643.80

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Solution

The fourth proportional to 149,960.60, 224,904.90 and 86,643.80 is: 129,944.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,960.60 : 224,904.90 = 86,643.80 : x
  2. Step 2: Convert to fraction form
    149,960.60/224,904.90 = 86,643.80/x
  3. Step 3: Cross multiply
    149,960.60x = 224,904.90 × 86,643.80
  4. Step 4: Simplify right side
    149,960.60x = 19,486,615,174.62
  5. Step 5: Solve for x
    x = 19,486,615,174.62/149,960.60
  6. Step 6: Final answer
    x = 129,944.90

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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.