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Finding the Fourth Proportional to 159,042, 219,454.24 and 91,048.24

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Solution

The fourth proportional to 159,042, 219,454.24 and 91,048.24 is: 125,632.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,042 : 219,454.24 = 91,048.24 : x
  2. Step 2: Convert to fraction form
    159,042/219,454.24 = 91,048.24/x
  3. Step 3: Cross multiply
    159,042x = 219,454.24 × 91,048.24
  4. Step 4: Simplify right side
    159,042x = 19,980,922,312.54
  5. Step 5: Solve for x
    x = 19,980,922,312.54/159,042
  6. Step 6: Final answer
    x = 125,632.99

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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.