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Finding the Fourth Proportional to 228,119.64, 314,807.14 and 126,152

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Solution

The fourth proportional to 228,119.64, 314,807.14 and 126,152 is: 174,090.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,119.64 : 314,807.14 = 126,152 : x
  2. Step 2: Convert to fraction form
    228,119.64/314,807.14 = 126,152/x
  3. Step 3: Cross multiply
    228,119.64x = 314,807.14 × 126,152
  4. Step 4: Simplify right side
    228,119.64x = 39,713,550,325.28
  5. Step 5: Solve for x
    x = 39,713,550,325.28/228,119.64
  6. Step 6: Final answer
    x = 174,090.89

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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.