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Finding the Fourth Proportional to 158,625.60, 218,900 and 87,005.76

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Solution

The fourth proportional to 158,625.60, 218,900 and 87,005.76 is: 120,066.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,625.60 : 218,900 = 87,005.76 : x
  2. Step 2: Convert to fraction form
    158,625.60/218,900 = 87,005.76/x
  3. Step 3: Cross multiply
    158,625.60x = 218,900 × 87,005.76
  4. Step 4: Simplify right side
    158,625.60x = 19,045,560,864
  5. Step 5: Solve for x
    x = 19,045,560,864/158,625.60
  6. Step 6: Final answer
    x = 120,066.12

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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.