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Finding the Fourth Proportional to 228,098.87, 314,774.55 and 126,128.78

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Solution

The fourth proportional to 228,098.87, 314,774.55 and 126,128.78 is: 174,056.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,098.87 : 314,774.55 = 126,128.78 : x
  2. Step 2: Convert to fraction form
    228,098.87/314,774.55 = 126,128.78/x
  3. Step 3: Cross multiply
    228,098.87x = 314,774.55 × 126,128.78
  4. Step 4: Simplify right side
    228,098.87x = 39,702,129,966.55
  5. Step 5: Solve for x
    x = 39,702,129,966.55/228,098.87
  6. Step 6: Final answer
    x = 174,056.67

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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.