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Finding the Fourth Proportional to 102,563.60, 153,845.40 and 72,496.40

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Solution

The fourth proportional to 102,563.60, 153,845.40 and 72,496.40 is: 108,744.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,563.60 : 153,845.40 = 72,496.40 : x
  2. Step 2: Convert to fraction form
    102,563.60/153,845.40 = 72,496.40/x
  3. Step 3: Cross multiply
    102,563.60x = 153,845.40 × 72,496.40
  4. Step 4: Simplify right side
    102,563.60x = 11,153,237,656.56
  5. Step 5: Solve for x
    x = 11,153,237,656.56/102,563.60
  6. Step 6: Final answer
    x = 108,744.60

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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.