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Finding the Fourth Proportional to 159,186.65, 219,678.62 and 87,564.83

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Solution

The fourth proportional to 159,186.65, 219,678.62 and 87,564.83 is: 120,840.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,186.65 : 219,678.62 = 87,564.83 : x
  2. Step 2: Convert to fraction form
    159,186.65/219,678.62 = 87,564.83/x
  3. Step 3: Cross multiply
    159,186.65x = 219,678.62 × 87,564.83
  4. Step 4: Simplify right side
    159,186.65x = 19,236,119,478.72
  5. Step 5: Solve for x
    x = 19,236,119,478.72/159,186.65
  6. Step 6: Final answer
    x = 120,840.03

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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.