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Finding the Fourth Proportional to 76,117, 114,175.86 and 20,713

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Solution

The fourth proportional to 76,117, 114,175.86 and 20,713 is: 31,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,117 : 114,175.86 = 20,713 : x
  2. Step 2: Convert to fraction form
    76,117/114,175.86 = 20,713/x
  3. Step 3: Cross multiply
    76,117x = 114,175.86 × 20,713
  4. Step 4: Simplify right side
    76,117x = 2,364,924,588.18
  5. Step 5: Solve for x
    x = 2,364,924,588.18/76,117
  6. Step 6: Final answer
    x = 31,069.60

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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.