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Finding the Fourth Proportional to 116,465.33, 160,721.17 and 65,478.28

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Solution

The fourth proportional to 116,465.33, 160,721.17 and 65,478.28 is: 90,359.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,465.33 : 160,721.17 = 65,478.28 : x
  2. Step 2: Convert to fraction form
    116,465.33/160,721.17 = 65,478.28/x
  3. Step 3: Cross multiply
    116,465.33x = 160,721.17 × 65,478.28
  4. Step 4: Simplify right side
    116,465.33x = 10,523,745,771.19
  5. Step 5: Solve for x
    x = 10,523,745,771.19/116,465.33
  6. Step 6: Final answer
    x = 90,359.47

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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.