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Finding the Fourth Proportional to 228,145.79, 314,843.28 and 126,165.98

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Solution

The fourth proportional to 228,145.79, 314,843.28 and 126,165.98 is: 174,110.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,145.79 : 314,843.28 = 126,165.98 : x
  2. Step 2: Convert to fraction form
    228,145.79/314,843.28 = 126,165.98/x
  3. Step 3: Cross multiply
    228,145.79x = 314,843.28 × 126,165.98
  4. Step 4: Simplify right side
    228,145.79x = 39,722,510,967.61
  5. Step 5: Solve for x
    x = 39,722,510,967.61/228,145.79
  6. Step 6: Final answer
    x = 174,110.21

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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.