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Finding the Fourth Proportional to 153,665.94, 230,064.24 and 81,454.31

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Solution

The fourth proportional to 153,665.94, 230,064.24 and 81,454.31 is: 121,951.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,665.94 : 230,064.24 = 81,454.31 : x
  2. Step 2: Convert to fraction form
    153,665.94/230,064.24 = 81,454.31/x
  3. Step 3: Cross multiply
    153,665.94x = 230,064.24 × 81,454.31
  4. Step 4: Simplify right side
    153,665.94x = 18,739,723,924.87
  5. Step 5: Solve for x
    x = 18,739,723,924.87/153,665.94
  6. Step 6: Final answer
    x = 121,951.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.