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Finding the Fourth Proportional to 228,112.64, 314,789.28 and 127,530.08

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Solution

The fourth proportional to 228,112.64, 314,789.28 and 127,530.08 is: 175,988.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,112.64 : 314,789.28 = 127,530.08 : x
  2. Step 2: Convert to fraction form
    228,112.64/314,789.28 = 127,530.08/x
  3. Step 3: Cross multiply
    228,112.64x = 314,789.28 × 127,530.08
  4. Step 4: Simplify right side
    228,112.64x = 40,145,102,061.54
  5. Step 5: Solve for x
    x = 40,145,102,061.54/228,112.64
  6. Step 6: Final answer
    x = 175,988.06

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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.