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Finding the Fourth Proportional to 102,352.80, 153,529.20 and 76,108.80

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Solution

The fourth proportional to 102,352.80, 153,529.20 and 76,108.80 is: 114,163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,352.80 : 153,529.20 = 76,108.80 : x
  2. Step 2: Convert to fraction form
    102,352.80/153,529.20 = 76,108.80/x
  3. Step 3: Cross multiply
    102,352.80x = 153,529.20 × 76,108.80
  4. Step 4: Simplify right side
    102,352.80x = 11,684,923,176.96
  5. Step 5: Solve for x
    x = 11,684,923,176.96/102,352.80
  6. Step 6: Final answer
    x = 114,163.20

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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.