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Finding the Fourth Proportional to 77,004.54, 106,258.59 and 43,007.61

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Solution

The fourth proportional to 77,004.54, 106,258.59 and 43,007.61 is: 59,346.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,004.54 : 106,258.59 = 43,007.61 : x
  2. Step 2: Convert to fraction form
    77,004.54/106,258.59 = 43,007.61/x
  3. Step 3: Cross multiply
    77,004.54x = 106,258.59 × 43,007.61
  4. Step 4: Simplify right side
    77,004.54x = 4,569,927,997.87
  5. Step 5: Solve for x
    x = 4,569,927,997.87/77,004.54
  6. Step 6: Final answer
    x = 59,346.22

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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.