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Finding the Fourth Proportional to 118,717.16, 163,829.70 and 65,005.51

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Solution

The fourth proportional to 118,717.16, 163,829.70 and 65,005.51 is: 89,707.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,717.16 : 163,829.70 = 65,005.51 : x
  2. Step 2: Convert to fraction form
    118,717.16/163,829.70 = 65,005.51/x
  3. Step 3: Cross multiply
    118,717.16x = 163,829.70 × 65,005.51
  4. Step 4: Simplify right side
    118,717.16x = 10,649,833,201.65
  5. Step 5: Solve for x
    x = 10,649,833,201.65/118,717.16
  6. Step 6: Final answer
    x = 89,707.61

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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.