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Finding the Fourth Proportional to 77,792.90, 116,650.22 and 45,345.54

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Solution

The fourth proportional to 77,792.90, 116,650.22 and 45,345.54 is: 67,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,792.90 : 116,650.22 = 45,345.54 : x
  2. Step 2: Convert to fraction form
    77,792.90/116,650.22 = 45,345.54/x
  3. Step 3: Cross multiply
    77,792.90x = 116,650.22 × 45,345.54
  4. Step 4: Simplify right side
    77,792.90x = 5,289,566,990.29
  5. Step 5: Solve for x
    x = 5,289,566,990.29/77,792.90
  6. Step 6: Final answer
    x = 67,995.50

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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.