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Finding the Fourth Proportional to 159,402.74, 219,976.02 and 87,782.81

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Solution

The fourth proportional to 159,402.74, 219,976.02 and 87,782.81 is: 121,140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,402.74 : 219,976.02 = 87,782.81 : x
  2. Step 2: Convert to fraction form
    159,402.74/219,976.02 = 87,782.81/x
  3. Step 3: Cross multiply
    159,402.74x = 219,976.02 × 87,782.81
  4. Step 4: Simplify right side
    159,402.74x = 19,310,112,068.34
  5. Step 5: Solve for x
    x = 19,310,112,068.34/159,402.74
  6. Step 6: Final answer
    x = 121,140.41

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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.