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Finding the Fourth Proportional to 115,947, 160,007.40 and 65,646

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Solution

The fourth proportional to 115,947, 160,007.40 and 65,646 is: 90,591.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,947 : 160,007.40 = 65,646 : x
  2. Step 2: Convert to fraction form
    115,947/160,007.40 = 65,646/x
  3. Step 3: Cross multiply
    115,947x = 160,007.40 × 65,646
  4. Step 4: Simplify right side
    115,947x = 10,503,845,780.40
  5. Step 5: Solve for x
    x = 10,503,845,780.40/115,947
  6. Step 6: Final answer
    x = 90,591.79

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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.