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Finding the Fourth Proportional to 85,302.64, 117,717.80 and 47,579.32

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Solution

The fourth proportional to 85,302.64, 117,717.80 and 47,579.32 is: 65,659.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,302.64 : 117,717.80 = 47,579.32 : x
  2. Step 2: Convert to fraction form
    85,302.64/117,717.80 = 47,579.32/x
  3. Step 3: Cross multiply
    85,302.64x = 117,717.80 × 47,579.32
  4. Step 4: Simplify right side
    85,302.64x = 5,600,932,875.90
  5. Step 5: Solve for x
    x = 5,600,932,875.90/85,302.64
  6. Step 6: Final answer
    x = 65,659.55

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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.