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Finding the Fourth Proportional to 149,673, 224,390.28 and 86,421.40

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Solution

The fourth proportional to 149,673, 224,390.28 and 86,421.40 is: 129,563.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,673 : 224,390.28 = 86,421.40 : x
  2. Step 2: Convert to fraction form
    149,673/224,390.28 = 86,421.40/x
  3. Step 3: Cross multiply
    149,673x = 224,390.28 × 86,421.40
  4. Step 4: Simplify right side
    149,673x = 19,392,121,583.02
  5. Step 5: Solve for x
    x = 19,392,121,583.02/149,673
  6. Step 6: Final answer
    x = 129,563.26

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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.