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Finding the Fourth Proportional to 228,072, 314,749.08 and 127,470

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Solution

The fourth proportional to 228,072, 314,749.08 and 127,470 is: 175,914.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,072 : 314,749.08 = 127,470 : x
  2. Step 2: Convert to fraction form
    228,072/314,749.08 = 127,470/x
  3. Step 3: Cross multiply
    228,072x = 314,749.08 × 127,470
  4. Step 4: Simplify right side
    228,072x = 40,121,065,227.60
  5. Step 5: Solve for x
    x = 40,121,065,227.60/228,072
  6. Step 6: Final answer
    x = 175,914.03

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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.