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Finding the Fourth Proportional to 118,987.94, 164,205.54 and 65,275.70

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Solution

The fourth proportional to 118,987.94, 164,205.54 and 65,275.70 is: 90,081.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,987.94 : 164,205.54 = 65,275.70 : x
  2. Step 2: Convert to fraction form
    118,987.94/164,205.54 = 65,275.70/x
  3. Step 3: Cross multiply
    118,987.94x = 164,205.54 × 65,275.70
  4. Step 4: Simplify right side
    118,987.94x = 10,718,631,567.38
  5. Step 5: Solve for x
    x = 10,718,631,567.38/118,987.94
  6. Step 6: Final answer
    x = 90,081.66

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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.