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Finding the Fourth Proportional to 102,513.40, 153,794.40 and 52,601.20

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Solution

The fourth proportional to 102,513.40, 153,794.40 and 52,601.20 is: 78,914.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,513.40 : 153,794.40 = 52,601.20 : x
  2. Step 2: Convert to fraction form
    102,513.40/153,794.40 = 52,601.20/x
  3. Step 3: Cross multiply
    102,513.40x = 153,794.40 × 52,601.20
  4. Step 4: Simplify right side
    102,513.40x = 8,089,769,993.28
  5. Step 5: Solve for x
    x = 8,089,769,993.28/102,513.40
  6. Step 6: Final answer
    x = 78,914.27

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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.