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Finding the Fourth Proportional to 85,164.20, 117,530.24 and 47,438.48

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Solution

The fourth proportional to 85,164.20, 117,530.24 and 47,438.48 is: 65,467.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,164.20 : 117,530.24 = 47,438.48 : x
  2. Step 2: Convert to fraction form
    85,164.20/117,530.24 = 47,438.48/x
  3. Step 3: Cross multiply
    85,164.20x = 117,530.24 × 47,438.48
  4. Step 4: Simplify right side
    85,164.20x = 5,575,455,939.64
  5. Step 5: Solve for x
    x = 5,575,455,939.64/85,164.20
  6. Step 6: Final answer
    x = 65,467.13

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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.