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Finding the Fourth Proportional to 228,126.64, 314,816.78 and 126,158.94

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Solution

The fourth proportional to 228,126.64, 314,816.78 and 126,158.94 is: 174,100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,126.64 : 314,816.78 = 126,158.94 : x
  2. Step 2: Convert to fraction form
    228,126.64/314,816.78 = 126,158.94/x
  3. Step 3: Cross multiply
    228,126.64x = 314,816.78 × 126,158.94
  4. Step 4: Simplify right side
    228,126.64x = 39,716,951,259.01
  5. Step 5: Solve for x
    x = 39,716,951,259.01/228,126.64
  6. Step 6: Final answer
    x = 174,100.45

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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.