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Finding the Fourth Proportional to 185,472.72, 277,994.16 and 85,422.96

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Solution

The fourth proportional to 185,472.72, 277,994.16 and 85,422.96 is: 128,035.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,472.72 : 277,994.16 = 85,422.96 : x
  2. Step 2: Convert to fraction form
    185,472.72/277,994.16 = 85,422.96/x
  3. Step 3: Cross multiply
    185,472.72x = 277,994.16 × 85,422.96
  4. Step 4: Simplify right side
    185,472.72x = 23,747,084,009.91
  5. Step 5: Solve for x
    x = 23,747,084,009.91/185,472.72
  6. Step 6: Final answer
    x = 128,035.45

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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.