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Finding the Fourth Proportional to 76,581.84, 114,878.21 and 20,421.64

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Solution

The fourth proportional to 76,581.84, 114,878.21 and 20,421.64 is: 30,633.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,581.84 : 114,878.21 = 20,421.64 : x
  2. Step 2: Convert to fraction form
    76,581.84/114,878.21 = 20,421.64/x
  3. Step 3: Cross multiply
    76,581.84x = 114,878.21 × 20,421.64
  4. Step 4: Simplify right side
    76,581.84x = 2,346,001,059.16
  5. Step 5: Solve for x
    x = 2,346,001,059.16/76,581.84
  6. Step 6: Final answer
    x = 30,633.91

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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.