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Finding the Fourth Proportional to 280,838.76, 421,174.90 and 81,160.93

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Solution

The fourth proportional to 280,838.76, 421,174.90 and 81,160.93 is: 121,717.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,838.76 : 421,174.90 = 81,160.93 : x
  2. Step 2: Convert to fraction form
    280,838.76/421,174.90 = 81,160.93/x
  3. Step 3: Cross multiply
    280,838.76x = 421,174.90 × 81,160.93
  4. Step 4: Simplify right side
    280,838.76x = 34,182,946,576.66
  5. Step 5: Solve for x
    x = 34,182,946,576.66/280,838.76
  6. Step 6: Final answer
    x = 121,717.34

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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.