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Finding the Fourth Proportional to 149,411.20, 224,156.40 and 65,135.20

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Solution

The fourth proportional to 149,411.20, 224,156.40 and 65,135.20 is: 97,720.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,411.20 : 224,156.40 = 65,135.20 : x
  2. Step 2: Convert to fraction form
    149,411.20/224,156.40 = 65,135.20/x
  3. Step 3: Cross multiply
    149,411.20x = 224,156.40 × 65,135.20
  4. Step 4: Simplify right side
    149,411.20x = 14,600,471,945.28
  5. Step 5: Solve for x
    x = 14,600,471,945.28/149,411.20
  6. Step 6: Final answer
    x = 97,720.06

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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.