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Finding the Fourth Proportional to 145,455.66, 200,731.32 and 80,929.98

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Solution

The fourth proportional to 145,455.66, 200,731.32 and 80,929.98 is: 111,684.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,455.66 : 200,731.32 = 80,929.98 : x
  2. Step 2: Convert to fraction form
    145,455.66/200,731.32 = 80,929.98/x
  3. Step 3: Cross multiply
    145,455.66x = 200,731.32 × 80,929.98
  4. Step 4: Simplify right side
    145,455.66x = 16,245,181,712.97
  5. Step 5: Solve for x
    x = 16,245,181,712.97/145,455.66
  6. Step 6: Final answer
    x = 111,684.77

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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.