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Finding the Fourth Proportional to 228,962.13, 315,952 and 126,978.02

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Solution

The fourth proportional to 228,962.13, 315,952 and 126,978.02 is: 175,220.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,962.13 : 315,952 = 126,978.02 : x
  2. Step 2: Convert to fraction form
    228,962.13/315,952 = 126,978.02/x
  3. Step 3: Cross multiply
    228,962.13x = 315,952 × 126,978.02
  4. Step 4: Simplify right side
    228,962.13x = 40,118,959,375.04
  5. Step 5: Solve for x
    x = 40,118,959,375.04/228,962.13
  6. Step 6: Final answer
    x = 175,220.94

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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.