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Finding the Fourth Proportional to 82,886.40, 114,391.44 and 47,078.64

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Solution

The fourth proportional to 82,886.40, 114,391.44 and 47,078.64 is: 64,973.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,886.40 : 114,391.44 = 47,078.64 : x
  2. Step 2: Convert to fraction form
    82,886.40/114,391.44 = 47,078.64/x
  3. Step 3: Cross multiply
    82,886.40x = 114,391.44 × 47,078.64
  4. Step 4: Simplify right side
    82,886.40x = 5,385,393,422.84
  5. Step 5: Solve for x
    x = 5,385,393,422.84/82,886.40
  6. Step 6: Final answer
    x = 64,973.19

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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.