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Finding the Fourth Proportional to 102,445.92, 153,727.22 and 81,800.64

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Solution

The fourth proportional to 102,445.92, 153,727.22 and 81,800.64 is: 122,747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,445.92 : 153,727.22 = 81,800.64 : x
  2. Step 2: Convert to fraction form
    102,445.92/153,727.22 = 81,800.64/x
  3. Step 3: Cross multiply
    102,445.92x = 153,727.22 × 81,800.64
  4. Step 4: Simplify right side
    102,445.92x = 12,574,984,981.42
  5. Step 5: Solve for x
    x = 12,574,984,981.42/102,445.92
  6. Step 6: Final answer
    x = 122,747.54

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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.