Home / 76,284.90-114,381-34,157.16

Finding the Fourth Proportional to 76,284.90, 114,381 and 34,157.16

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Solution

The fourth proportional to 76,284.90, 114,381 and 34,157.16 is: 51,214.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,284.90 : 114,381 = 34,157.16 : x
  2. Step 2: Convert to fraction form
    76,284.90/114,381 = 34,157.16/x
  3. Step 3: Cross multiply
    76,284.90x = 114,381 × 34,157.16
  4. Step 4: Simplify right side
    76,284.90x = 3,906,930,117.96
  5. Step 5: Solve for x
    x = 3,906,930,117.96/76,284.90
  6. Step 6: Final answer
    x = 51,214.99

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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.