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Finding the Fourth Proportional to 85,100.96, 117,410.64 and 51,577.76

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Solution

The fourth proportional to 85,100.96, 117,410.64 and 51,577.76 is: 71,159.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,100.96 : 117,410.64 = 51,577.76 : x
  2. Step 2: Convert to fraction form
    85,100.96/117,410.64 = 51,577.76/x
  3. Step 3: Cross multiply
    85,100.96x = 117,410.64 × 51,577.76
  4. Step 4: Simplify right side
    85,100.96x = 6,055,777,811.37
  5. Step 5: Solve for x
    x = 6,055,777,811.37/85,100.96
  6. Step 6: Final answer
    x = 71,159.92

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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.