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Finding the Fourth Proportional to 78,699.96, 117,964.04 and 38,746.44

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Solution

The fourth proportional to 78,699.96, 117,964.04 and 38,746.44 is: 58,077.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,699.96 : 117,964.04 = 38,746.44 : x
  2. Step 2: Convert to fraction form
    78,699.96/117,964.04 = 38,746.44/x
  3. Step 3: Cross multiply
    78,699.96x = 117,964.04 × 38,746.44
  4. Step 4: Simplify right side
    78,699.96x = 4,570,686,404.29
  5. Step 5: Solve for x
    x = 4,570,686,404.29/78,699.96
  6. Step 6: Final answer
    x = 58,077.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.