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Finding the Fourth Proportional to 115,992, 160,068.96 and 63,000

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Solution

The fourth proportional to 115,992, 160,068.96 and 63,000 is: 86,940

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,992 : 160,068.96 = 63,000 : x
  2. Step 2: Convert to fraction form
    115,992/160,068.96 = 63,000/x
  3. Step 3: Cross multiply
    115,992x = 160,068.96 × 63,000
  4. Step 4: Simplify right side
    115,992x = 10,084,344,480
  5. Step 5: Solve for x
    x = 10,084,344,480/115,992
  6. Step 6: Final answer
    x = 86,940

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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.