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Finding the Fourth Proportional to 154,080, 212,647.68 and 87,016.32

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Solution

The fourth proportional to 154,080, 212,647.68 and 87,016.32 is: 120,092.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,080 : 212,647.68 = 87,016.32 : x
  2. Step 2: Convert to fraction form
    154,080/212,647.68 = 87,016.32/x
  3. Step 3: Cross multiply
    154,080x = 212,647.68 × 87,016.32
  4. Step 4: Simplify right side
    154,080x = 18,503,818,570.14
  5. Step 5: Solve for x
    x = 18,503,818,570.14/154,080
  6. Step 6: Final answer
    x = 120,092.28

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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.