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Finding the Fourth Proportional to 78,542.90, 117,814.35 and 73,358.90

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Solution

The fourth proportional to 78,542.90, 117,814.35 and 73,358.90 is: 110,038.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,542.90 : 117,814.35 = 73,358.90 : x
  2. Step 2: Convert to fraction form
    78,542.90/117,814.35 = 73,358.90/x
  3. Step 3: Cross multiply
    78,542.90x = 117,814.35 × 73,358.90
  4. Step 4: Simplify right side
    78,542.90x = 8,642,731,120.22
  5. Step 5: Solve for x
    x = 8,642,731,120.22/78,542.90
  6. Step 6: Final answer
    x = 110,038.35

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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.