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Finding the Fourth Proportional to 85,506.58, 117,998.78 and 47,780.84

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Solution

The fourth proportional to 85,506.58, 117,998.78 and 47,780.84 is: 65,937.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,506.58 : 117,998.78 = 47,780.84 : x
  2. Step 2: Convert to fraction form
    85,506.58/117,998.78 = 47,780.84/x
  3. Step 3: Cross multiply
    85,506.58x = 117,998.78 × 47,780.84
  4. Step 4: Simplify right side
    85,506.58x = 5,638,080,827.38
  5. Step 5: Solve for x
    x = 5,638,080,827.38/85,506.58
  6. Step 6: Final answer
    x = 65,937.39

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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.