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Finding the Fourth Proportional to 159,172.59, 219,533.69 and 98,709.06

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Solution

The fourth proportional to 159,172.59, 219,533.69 and 98,709.06 is: 136,141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,172.59 : 219,533.69 = 98,709.06 : x
  2. Step 2: Convert to fraction form
    159,172.59/219,533.69 = 98,709.06/x
  3. Step 3: Cross multiply
    159,172.59x = 219,533.69 × 98,709.06
  4. Step 4: Simplify right side
    159,172.59x = 21,669,964,425.00
  5. Step 5: Solve for x
    x = 21,669,964,425.00/159,172.59
  6. Step 6: Final answer
    x = 136,141.31

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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.