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Finding the Fourth Proportional to 159,172.84, 219,534.04 and 98,709.31

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Solution

The fourth proportional to 159,172.84, 219,534.04 and 98,709.31 is: 136,141.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,172.84 : 219,534.04 = 98,709.31 : x
  2. Step 2: Convert to fraction form
    159,172.84/219,534.04 = 98,709.31/x
  3. Step 3: Cross multiply
    159,172.84x = 219,534.04 × 98,709.31
  4. Step 4: Simplify right side
    159,172.84x = 21,670,053,363.14
  5. Step 5: Solve for x
    x = 21,670,053,363.14/159,172.84
  6. Step 6: Final answer
    x = 136,141.65

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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.