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Finding the Fourth Proportional to 227,637, 314,139.24 and 127,035

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Solution

The fourth proportional to 227,637, 314,139.24 and 127,035 is: 175,308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,637 : 314,139.24 = 127,035 : x
  2. Step 2: Convert to fraction form
    227,637/314,139.24 = 127,035/x
  3. Step 3: Cross multiply
    227,637x = 314,139.24 × 127,035
  4. Step 4: Simplify right side
    227,637x = 39,906,678,353.40
  5. Step 5: Solve for x
    x = 39,906,678,353.40/227,637
  6. Step 6: Final answer
    x = 175,308.40

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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.