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Finding the Fourth Proportional to 159,212.64, 219,639.92 and 102,642.24

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Solution

The fourth proportional to 159,212.64, 219,639.92 and 102,642.24 is: 141,598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,212.64 : 219,639.92 = 102,642.24 : x
  2. Step 2: Convert to fraction form
    159,212.64/219,639.92 = 102,642.24/x
  3. Step 3: Cross multiply
    159,212.64x = 219,639.92 × 102,642.24
  4. Step 4: Simplify right side
    159,212.64x = 22,544,333,382.22
  5. Step 5: Solve for x
    x = 22,544,333,382.22/159,212.64
  6. Step 6: Final answer
    x = 141,598.89

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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.