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Finding the Fourth Proportional to 138,707.71, 191,416.57 and 78,291.03

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Solution

The fourth proportional to 138,707.71, 191,416.57 and 78,291.03 is: 108,041.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,707.71 : 191,416.57 = 78,291.03 : x
  2. Step 2: Convert to fraction form
    138,707.71/191,416.57 = 78,291.03/x
  3. Step 3: Cross multiply
    138,707.71x = 191,416.57 × 78,291.03
  4. Step 4: Simplify right side
    138,707.71x = 14,986,200,424.37
  5. Step 5: Solve for x
    x = 14,986,200,424.37/138,707.71
  6. Step 6: Final answer
    x = 108,041.58

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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.