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Finding the Fourth Proportional to 228,114.50, 314,794.72 and 126,137.72

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Solution

The fourth proportional to 228,114.50, 314,794.72 and 126,137.72 is: 174,068.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,114.50 : 314,794.72 = 126,137.72 : x
  2. Step 2: Convert to fraction form
    228,114.50/314,794.72 = 126,137.72/x
  3. Step 3: Cross multiply
    228,114.50x = 314,794.72 × 126,137.72
  4. Step 4: Simplify right side
    228,114.50x = 39,707,489,193.50
  5. Step 5: Solve for x
    x = 39,707,489,193.50/228,114.50
  6. Step 6: Final answer
    x = 174,068.24

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1.5x scale

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.