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Finding the Fourth Proportional to 83,227.08, 114,864 and 47,430

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Solution

The fourth proportional to 83,227.08, 114,864 and 47,430 is: 65,459.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,227.08 : 114,864 = 47,430 : x
  2. Step 2: Convert to fraction form
    83,227.08/114,864 = 47,430/x
  3. Step 3: Cross multiply
    83,227.08x = 114,864 × 47,430
  4. Step 4: Simplify right side
    83,227.08x = 5,447,999,520
  5. Step 5: Solve for x
    x = 5,447,999,520/83,227.08
  6. Step 6: Final answer
    x = 65,459.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.