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Finding the Fourth Proportional to 110,423.60, 165,635.40 and 102,647.60

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Solution

The fourth proportional to 110,423.60, 165,635.40 and 102,647.60 is: 153,971.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,423.60 : 165,635.40 = 102,647.60 : x
  2. Step 2: Convert to fraction form
    110,423.60/165,635.40 = 102,647.60/x
  3. Step 3: Cross multiply
    110,423.60x = 165,635.40 × 102,647.60
  4. Step 4: Simplify right side
    110,423.60x = 17,002,076,285.04
  5. Step 5: Solve for x
    x = 17,002,076,285.04/110,423.60
  6. Step 6: Final answer
    x = 153,971.40

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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.