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Finding the Fourth Proportional to 118,929.70, 164,122.90 and 65,215.59

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Solution

The fourth proportional to 118,929.70, 164,122.90 and 65,215.59 is: 89,997.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,929.70 : 164,122.90 = 65,215.59 : x
  2. Step 2: Convert to fraction form
    118,929.70/164,122.90 = 65,215.59/x
  3. Step 3: Cross multiply
    118,929.70x = 164,122.90 × 65,215.59
  4. Step 4: Simplify right side
    118,929.70x = 10,703,371,756.01
  5. Step 5: Solve for x
    x = 10,703,371,756.01/118,929.70
  6. Step 6: Final answer
    x = 89,997.47

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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.