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Finding the Fourth Proportional to 85,209.60, 117,590.40 and 47,482.56

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Solution

The fourth proportional to 85,209.60, 117,590.40 and 47,482.56 is: 65,526.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,209.60 : 117,590.40 = 47,482.56 : x
  2. Step 2: Convert to fraction form
    85,209.60/117,590.40 = 47,482.56/x
  3. Step 3: Cross multiply
    85,209.60x = 117,590.40 × 47,482.56
  4. Step 4: Simplify right side
    85,209.60x = 5,583,493,223.42
  5. Step 5: Solve for x
    x = 5,583,493,223.42/85,209.60
  6. Step 6: Final answer
    x = 65,526.57

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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.