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Finding the Fourth Proportional to 85,506.06, 117,998.31 and 47,780.22

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Solution

The fourth proportional to 85,506.06, 117,998.31 and 47,780.22 is: 65,936.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,506.06 : 117,998.31 = 47,780.22 : x
  2. Step 2: Convert to fraction form
    85,506.06/117,998.31 = 47,780.22/x
  3. Step 3: Cross multiply
    85,506.06x = 117,998.31 × 47,780.22
  4. Step 4: Simplify right side
    85,506.06x = 5,637,985,211.43
  5. Step 5: Solve for x
    x = 5,637,985,211.43/85,506.06
  6. Step 6: Final answer
    x = 65,936.67

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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.