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Finding the Fourth Proportional to 77,339.78, 106,730.16 and 43,355.82

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Solution

The fourth proportional to 77,339.78, 106,730.16 and 43,355.82 is: 59,831.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,339.78 : 106,730.16 = 43,355.82 : x
  2. Step 2: Convert to fraction form
    77,339.78/106,730.16 = 43,355.82/x
  3. Step 3: Cross multiply
    77,339.78x = 106,730.16 × 43,355.82
  4. Step 4: Simplify right side
    77,339.78x = 4,627,373,843.18
  5. Step 5: Solve for x
    x = 4,627,373,843.18/77,339.78
  6. Step 6: Final answer
    x = 59,831.74

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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.