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Finding the Fourth Proportional to 85,506.61, 117,998.76 and 47,780.86

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Solution

The fourth proportional to 85,506.61, 117,998.76 and 47,780.86 is: 65,937.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,506.61 : 117,998.76 = 47,780.86 : x
  2. Step 2: Convert to fraction form
    85,506.61/117,998.76 = 47,780.86/x
  3. Step 3: Cross multiply
    85,506.61x = 117,998.76 × 47,780.86
  4. Step 4: Simplify right side
    85,506.61x = 5,638,082,231.73
  5. Step 5: Solve for x
    x = 5,638,082,231.73/85,506.61
  6. Step 6: Final answer
    x = 65,937.38

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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.