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Finding the Fourth Proportional to 138,643.77, 191,330.26 and 78,214.22

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Solution

The fourth proportional to 138,643.77, 191,330.26 and 78,214.22 is: 107,936.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,643.77 : 191,330.26 = 78,214.22 : x
  2. Step 2: Convert to fraction form
    138,643.77/191,330.26 = 78,214.22/x
  3. Step 3: Cross multiply
    138,643.77x = 191,330.26 × 78,214.22
  4. Step 4: Simplify right side
    138,643.77x = 14,964,747,909.81
  5. Step 5: Solve for x
    x = 14,964,747,909.81/138,643.77
  6. Step 6: Final answer
    x = 107,936.68

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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.