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Finding the Fourth Proportional to 101,423.20, 152,102.40 and 42,244.60

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Solution

The fourth proportional to 101,423.20, 152,102.40 and 42,244.60 is: 63,353.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,423.20 : 152,102.40 = 42,244.60 : x
  2. Step 2: Convert to fraction form
    101,423.20/152,102.40 = 42,244.60/x
  3. Step 3: Cross multiply
    101,423.20x = 152,102.40 × 42,244.60
  4. Step 4: Simplify right side
    101,423.20x = 6,425,505,047.04
  5. Step 5: Solve for x
    x = 6,425,505,047.04/101,423.20
  6. Step 6: Final answer
    x = 63,353.40

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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.