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Finding the Fourth Proportional to 127,672, 191,507.86 and 57,469.28

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Solution

The fourth proportional to 127,672, 191,507.86 and 57,469.28 is: 86,203.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,672 : 191,507.86 = 57,469.28 : x
  2. Step 2: Convert to fraction form
    127,672/191,507.86 = 57,469.28/x
  3. Step 3: Cross multiply
    127,672x = 191,507.86 × 57,469.28
  4. Step 4: Simplify right side
    127,672x = 11,005,818,828.54
  5. Step 5: Solve for x
    x = 11,005,818,828.54/127,672
  6. Step 6: Final answer
    x = 86,203.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.