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Finding the Fourth Proportional to 138,238.60, 190,775.52 and 77,830

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Solution

The fourth proportional to 138,238.60, 190,775.52 and 77,830 is: 107,408.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,238.60 : 190,775.52 = 77,830 : x
  2. Step 2: Convert to fraction form
    138,238.60/190,775.52 = 77,830/x
  3. Step 3: Cross multiply
    138,238.60x = 190,775.52 × 77,830
  4. Step 4: Simplify right side
    138,238.60x = 14,848,058,721.60
  5. Step 5: Solve for x
    x = 14,848,058,721.60/138,238.60
  6. Step 6: Final answer
    x = 107,408.92

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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.