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Finding the Fourth Proportional to 75,979.16, 104,840.16 and 47,693.96

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Solution

The fourth proportional to 75,979.16, 104,840.16 and 47,693.96 is: 65,810.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,979.16 : 104,840.16 = 47,693.96 : x
  2. Step 2: Convert to fraction form
    75,979.16/104,840.16 = 47,693.96/x
  3. Step 3: Cross multiply
    75,979.16x = 104,840.16 × 47,693.96
  4. Step 4: Simplify right side
    75,979.16x = 5,000,242,397.43
  5. Step 5: Solve for x
    x = 5,000,242,397.43/75,979.16
  6. Step 6: Final answer
    x = 65,810.71

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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.