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Finding the Fourth Proportional to 85,475.76, 117,956.58 and 47,750

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Solution

The fourth proportional to 85,475.76, 117,956.58 and 47,750 is: 65,895.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,475.76 : 117,956.58 = 47,750 : x
  2. Step 2: Convert to fraction form
    85,475.76/117,956.58 = 47,750/x
  3. Step 3: Cross multiply
    85,475.76x = 117,956.58 × 47,750
  4. Step 4: Simplify right side
    85,475.76x = 5,632,426,695
  5. Step 5: Solve for x
    x = 5,632,426,695/85,475.76
  6. Step 6: Final answer
    x = 65,895.02

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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.