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Finding the Fourth Proportional to 77,698.92, 116,609.34 and 54,172.20

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Solution

The fourth proportional to 77,698.92, 116,609.34 and 54,172.20 is: 81,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,698.92 : 116,609.34 = 54,172.20 : x
  2. Step 2: Convert to fraction form
    77,698.92/116,609.34 = 54,172.20/x
  3. Step 3: Cross multiply
    77,698.92x = 116,609.34 × 54,172.20
  4. Step 4: Simplify right side
    77,698.92x = 6,316,984,488.35
  5. Step 5: Solve for x
    x = 6,316,984,488.35/77,698.92
  6. Step 6: Final answer
    x = 81,300.80

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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.