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Finding the Fourth Proportional to 138,960.37, 191,740.03 and 77,707.69

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Solution

The fourth proportional to 138,960.37, 191,740.03 and 77,707.69 is: 107,222.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,960.37 : 191,740.03 = 77,707.69 : x
  2. Step 2: Convert to fraction form
    138,960.37/191,740.03 = 77,707.69/x
  3. Step 3: Cross multiply
    138,960.37x = 191,740.03 × 77,707.69
  4. Step 4: Simplify right side
    138,960.37x = 14,899,674,811.83
  5. Step 5: Solve for x
    x = 14,899,674,811.83/138,960.37
  6. Step 6: Final answer
    x = 107,222.48

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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.