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Finding the Fourth Proportional to 83,220.11, 114,835.51 and 47,407.98

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Solution

The fourth proportional to 83,220.11, 114,835.51 and 47,407.98 is: 65,418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,220.11 : 114,835.51 = 47,407.98 : x
  2. Step 2: Convert to fraction form
    83,220.11/114,835.51 = 47,407.98/x
  3. Step 3: Cross multiply
    83,220.11x = 114,835.51 × 47,407.98
  4. Step 4: Simplify right side
    83,220.11x = 5,444,119,324.33
  5. Step 5: Solve for x
    x = 5,444,119,324.33/83,220.11
  6. Step 6: Final answer
    x = 65,418.32

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1.5x scale

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.