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Finding the Fourth Proportional to 159,071.80, 219,509.76 and 87,451.78

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Solution

The fourth proportional to 159,071.80, 219,509.76 and 87,451.78 is: 120,678.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,071.80 : 219,509.76 = 87,451.78 : x
  2. Step 2: Convert to fraction form
    159,071.80/219,509.76 = 87,451.78/x
  3. Step 3: Cross multiply
    159,071.80x = 219,509.76 × 87,451.78
  4. Step 4: Simplify right side
    159,071.80x = 19,196,519,239.37
  5. Step 5: Solve for x
    x = 19,196,519,239.37/159,071.80
  6. Step 6: Final answer
    x = 120,678.33

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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.