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Finding the Fourth Proportional to 153,454.65, 211,694.07 and 119,228.91

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Solution

The fourth proportional to 153,454.65, 211,694.07 and 119,228.91 is: 164,478.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,454.65 : 211,694.07 = 119,228.91 : x
  2. Step 2: Convert to fraction form
    153,454.65/211,694.07 = 119,228.91/x
  3. Step 3: Cross multiply
    153,454.65x = 211,694.07 × 119,228.91
  4. Step 4: Simplify right side
    153,454.65x = 25,240,053,219.56
  5. Step 5: Solve for x
    x = 25,240,053,219.56/153,454.65
  6. Step 6: Final answer
    x = 164,478.91

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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.