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Finding the Fourth Proportional to 83,675.97, 115,444.32 and 53,478.72

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Solution

The fourth proportional to 83,675.97, 115,444.32 and 53,478.72 is: 73,782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,675.97 : 115,444.32 = 53,478.72 : x
  2. Step 2: Convert to fraction form
    83,675.97/115,444.32 = 53,478.72/x
  3. Step 3: Cross multiply
    83,675.97x = 115,444.32 × 53,478.72
  4. Step 4: Simplify right side
    83,675.97x = 6,173,814,464.87
  5. Step 5: Solve for x
    x = 6,173,814,464.87/83,675.97
  6. Step 6: Final answer
    x = 73,782.41

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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.