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Finding the Fourth Proportional to 85,416.63, 117,876.77 and 47,690.88

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Solution

The fourth proportional to 85,416.63, 117,876.77 and 47,690.88 is: 65,814.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,416.63 : 117,876.77 = 47,690.88 : x
  2. Step 2: Convert to fraction form
    85,416.63/117,876.77 = 47,690.88/x
  3. Step 3: Cross multiply
    85,416.63x = 117,876.77 × 47,690.88
  4. Step 4: Simplify right side
    85,416.63x = 5,621,646,892.86
  5. Step 5: Solve for x
    x = 5,621,646,892.86/85,416.63
  6. Step 6: Final answer
    x = 65,814.43

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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.