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Finding the Fourth Proportional to 102,165.36, 153,114.80 and 52,203.36

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Solution

The fourth proportional to 102,165.36, 153,114.80 and 52,203.36 is: 78,236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,165.36 : 153,114.80 = 52,203.36 : x
  2. Step 2: Convert to fraction form
    102,165.36/153,114.80 = 52,203.36/x
  3. Step 3: Cross multiply
    102,165.36x = 153,114.80 × 52,203.36
  4. Step 4: Simplify right side
    102,165.36x = 7,993,107,025.73
  5. Step 5: Solve for x
    x = 7,993,107,025.73/102,165.36
  6. Step 6: Final answer
    x = 78,236.96

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1.5x scale

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.