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Finding the Fourth Proportional to 118,845.12, 164,008.08 and 65,129.70

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Solution

The fourth proportional to 118,845.12, 164,008.08 and 65,129.70 is: 89,879.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,845.12 : 164,008.08 = 65,129.70 : x
  2. Step 2: Convert to fraction form
    118,845.12/164,008.08 = 65,129.70/x
  3. Step 3: Cross multiply
    118,845.12x = 164,008.08 × 65,129.70
  4. Step 4: Simplify right side
    118,845.12x = 10,681,797,047.98
  5. Step 5: Solve for x
    x = 10,681,797,047.98/118,845.12
  6. Step 6: Final answer
    x = 89,879.98

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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.