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Finding the Fourth Proportional to 138,875.36, 191,647.94 and 75,213.16

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Solution

The fourth proportional to 138,875.36, 191,647.94 and 75,213.16 is: 103,794.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,875.36 : 191,647.94 = 75,213.16 : x
  2. Step 2: Convert to fraction form
    138,875.36/191,647.94 = 75,213.16/x
  3. Step 3: Cross multiply
    138,875.36x = 191,647.94 × 75,213.16
  4. Step 4: Simplify right side
    138,875.36x = 14,414,447,174.89
  5. Step 5: Solve for x
    x = 14,414,447,174.89/138,875.36
  6. Step 6: Final answer
    x = 103,794.13

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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.