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Finding the Fourth Proportional to 77,116.37, 106,419.86 and 43,124.47

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Solution

The fourth proportional to 77,116.37, 106,419.86 and 43,124.47 is: 59,511.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,116.37 : 106,419.86 = 43,124.47 : x
  2. Step 2: Convert to fraction form
    77,116.37/106,419.86 = 43,124.47/x
  3. Step 3: Cross multiply
    77,116.37x = 106,419.86 × 43,124.47
  4. Step 4: Simplify right side
    77,116.37x = 4,589,299,740.02
  5. Step 5: Solve for x
    x = 4,589,299,740.02/77,116.37
  6. Step 6: Final answer
    x = 59,511.36

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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.