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Finding the Fourth Proportional to 76,210.80, 114,235.20 and 36,742.20

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Solution

The fourth proportional to 76,210.80, 114,235.20 and 36,742.20 is: 55,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,210.80 : 114,235.20 = 36,742.20 : x
  2. Step 2: Convert to fraction form
    76,210.80/114,235.20 = 36,742.20/x
  3. Step 3: Cross multiply
    76,210.80x = 114,235.20 × 36,742.20
  4. Step 4: Simplify right side
    76,210.80x = 4,197,252,565.44
  5. Step 5: Solve for x
    x = 4,197,252,565.44/76,210.80
  6. Step 6: Final answer
    x = 55,074.25

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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.