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Finding the Fourth Proportional to 127,789, 191,693.40 and 39,043.24

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Solution

The fourth proportional to 127,789, 191,693.40 and 39,043.24 is: 58,567.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,789 : 191,693.40 = 39,043.24 : x
  2. Step 2: Convert to fraction form
    127,789/191,693.40 = 39,043.24/x
  3. Step 3: Cross multiply
    127,789x = 191,693.40 × 39,043.24
  4. Step 4: Simplify right side
    127,789x = 7,484,331,422.62
  5. Step 5: Solve for x
    x = 7,484,331,422.62/127,789
  6. Step 6: Final answer
    x = 58,567.88

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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.