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Finding the Fourth Proportional to 145,401.78, 200,807.43 and 129,551.80

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Solution

The fourth proportional to 145,401.78, 200,807.43 and 129,551.80 is: 178,917.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,401.78 : 200,807.43 = 129,551.80 : x
  2. Step 2: Convert to fraction form
    145,401.78/200,807.43 = 129,551.80/x
  3. Step 3: Cross multiply
    145,401.78x = 200,807.43 × 129,551.80
  4. Step 4: Simplify right side
    145,401.78x = 26,014,964,009.87
  5. Step 5: Solve for x
    x = 26,014,964,009.87/145,401.78
  6. Step 6: Final answer
    x = 178,917.78

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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.