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Finding the Fourth Proportional to 83,409.32, 115,113.11 and 47,604.74

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Solution

The fourth proportional to 83,409.32, 115,113.11 and 47,604.74 is: 65,699.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,409.32 : 115,113.11 = 47,604.74 : x
  2. Step 2: Convert to fraction form
    83,409.32/115,113.11 = 47,604.74/x
  3. Step 3: Cross multiply
    83,409.32x = 115,113.11 × 47,604.74
  4. Step 4: Simplify right side
    83,409.32x = 5,479,928,858.55
  5. Step 5: Solve for x
    x = 5,479,928,858.55/83,409.32
  6. Step 6: Final answer
    x = 65,699.24

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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.