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Finding the Fourth Proportional to 118,723.77, 163,838.64 and 65,009.82

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Solution

The fourth proportional to 118,723.77, 163,838.64 and 65,009.82 is: 89,713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,723.77 : 163,838.64 = 65,009.82 : x
  2. Step 2: Convert to fraction form
    118,723.77/163,838.64 = 65,009.82/x
  3. Step 3: Cross multiply
    118,723.77x = 163,838.64 × 65,009.82
  4. Step 4: Simplify right side
    118,723.77x = 10,651,120,495.44
  5. Step 5: Solve for x
    x = 10,651,120,495.44/118,723.77
  6. Step 6: Final answer
    x = 89,713.46

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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.