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Finding the Fourth Proportional to 77,102.81, 106,407.17 and 43,110.60

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Solution

The fourth proportional to 77,102.81, 106,407.17 and 43,110.60 is: 59,495.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,102.81 : 106,407.17 = 43,110.60 : x
  2. Step 2: Convert to fraction form
    77,102.81/106,407.17 = 43,110.60/x
  3. Step 3: Cross multiply
    77,102.81x = 106,407.17 × 43,110.60
  4. Step 4: Simplify right side
    77,102.81x = 4,587,276,727.45
  5. Step 5: Solve for x
    x = 4,587,276,727.45/77,102.81
  6. Step 6: Final answer
    x = 59,495.59

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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.