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Finding the Fourth Proportional to 159,397.76, 219,973.44 and 87,782.84

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Solution

The fourth proportional to 159,397.76, 219,973.44 and 87,782.84 is: 121,142.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,397.76 : 219,973.44 = 87,782.84 : x
  2. Step 2: Convert to fraction form
    159,397.76/219,973.44 = 87,782.84/x
  3. Step 3: Cross multiply
    159,397.76x = 219,973.44 × 87,782.84
  4. Step 4: Simplify right side
    159,397.76x = 19,309,893,287.77
  5. Step 5: Solve for x
    x = 19,309,893,287.77/159,397.76
  6. Step 6: Final answer
    x = 121,142.81

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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.