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Finding the Fourth Proportional to 101,563.20, 152,358.96 and 42,385.32

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Solution

The fourth proportional to 101,563.20, 152,358.96 and 42,385.32 is: 63,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,563.20 : 152,358.96 = 42,385.32 : x
  2. Step 2: Convert to fraction form
    101,563.20/152,358.96 = 42,385.32/x
  3. Step 3: Cross multiply
    101,563.20x = 152,358.96 × 42,385.32
  4. Step 4: Simplify right side
    101,563.20x = 6,457,783,274.47
  5. Step 5: Solve for x
    x = 6,457,783,274.47/101,563.20
  6. Step 6: Final answer
    x = 63,583.89

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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.