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Finding the Fourth Proportional to 76,257, 114,393.50 and 20,853

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Solution

The fourth proportional to 76,257, 114,393.50 and 20,853 is: 31,281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,257 : 114,393.50 = 20,853 : x
  2. Step 2: Convert to fraction form
    76,257/114,393.50 = 20,853/x
  3. Step 3: Cross multiply
    76,257x = 114,393.50 × 20,853
  4. Step 4: Simplify right side
    76,257x = 2,385,447,655.50
  5. Step 5: Solve for x
    x = 2,385,447,655.50/76,257
  6. Step 6: Final answer
    x = 31,281.69

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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.