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Finding the Fourth Proportional to 83,872, 115,745.16 and 46,146.32

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Solution

The fourth proportional to 83,872, 115,745.16 and 46,146.32 is: 63,682.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,872 : 115,745.16 = 46,146.32 : x
  2. Step 2: Convert to fraction form
    83,872/115,745.16 = 46,146.32/x
  3. Step 3: Cross multiply
    83,872x = 115,745.16 × 46,146.32
  4. Step 4: Simplify right side
    83,872x = 5,341,213,191.81
  5. Step 5: Solve for x
    x = 5,341,213,191.81/83,872
  6. Step 6: Final answer
    x = 63,682.91

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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.