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Finding the Fourth Proportional to 152,298.97, 228,658.09 and 77,469.75

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Solution

The fourth proportional to 152,298.97, 228,658.09 and 77,469.75 is: 116,311.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,298.97 : 228,658.09 = 77,469.75 : x
  2. Step 2: Convert to fraction form
    152,298.97/228,658.09 = 77,469.75/x
  3. Step 3: Cross multiply
    152,298.97x = 228,658.09 × 77,469.75
  4. Step 4: Simplify right side
    152,298.97x = 17,714,085,164.61
  5. Step 5: Solve for x
    x = 17,714,085,164.61/152,298.97
  6. Step 6: Final answer
    x = 116,311.26

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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.