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Finding the Fourth Proportional to 85,704.66, 118,261.35 and 47,978.91

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Solution

The fourth proportional to 85,704.66, 118,261.35 and 47,978.91 is: 66,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,704.66 : 118,261.35 = 47,978.91 : x
  2. Step 2: Convert to fraction form
    85,704.66/118,261.35 = 47,978.91/x
  3. Step 3: Cross multiply
    85,704.66x = 118,261.35 × 47,978.91
  4. Step 4: Simplify right side
    85,704.66x = 5,674,050,668.13
  5. Step 5: Solve for x
    x = 5,674,050,668.13/85,704.66
  6. Step 6: Final answer
    x = 66,204.69

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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.