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Finding the Fourth Proportional to 80,156.90, 110,596.64 and 51,828.50

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Solution

The fourth proportional to 80,156.90, 110,596.64 and 51,828.50 is: 71,510.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,156.90 : 110,596.64 = 51,828.50 : x
  2. Step 2: Convert to fraction form
    80,156.90/110,596.64 = 51,828.50/x
  3. Step 3: Cross multiply
    80,156.90x = 110,596.64 × 51,828.50
  4. Step 4: Simplify right side
    80,156.90x = 5,732,057,956.24
  5. Step 5: Solve for x
    x = 5,732,057,956.24/80,156.90
  6. Step 6: Final answer
    x = 71,510.47

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1.5x scale

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.