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Finding the Fourth Proportional to 84,934.86, 117,207.24 and 47,208.30

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Solution

The fourth proportional to 84,934.86, 117,207.24 and 47,208.30 is: 65,145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,934.86 : 117,207.24 = 47,208.30 : x
  2. Step 2: Convert to fraction form
    84,934.86/117,207.24 = 47,208.30/x
  3. Step 3: Cross multiply
    84,934.86x = 117,207.24 × 47,208.30
  4. Step 4: Simplify right side
    84,934.86x = 5,533,154,548.09
  5. Step 5: Solve for x
    x = 5,533,154,548.09/84,934.86
  6. Step 6: Final answer
    x = 65,145.86

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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.