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Finding the Fourth Proportional to 76,245.60, 114,400.80 and 36,782.40

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Solution

The fourth proportional to 76,245.60, 114,400.80 and 36,782.40 is: 55,189.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,245.60 : 114,400.80 = 36,782.40 : x
  2. Step 2: Convert to fraction form
    76,245.60/114,400.80 = 36,782.40/x
  3. Step 3: Cross multiply
    76,245.60x = 114,400.80 × 36,782.40
  4. Step 4: Simplify right side
    76,245.60x = 4,207,935,985.92
  5. Step 5: Solve for x
    x = 4,207,935,985.92/76,245.60
  6. Step 6: Final answer
    x = 55,189.23

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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.