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Finding the Fourth Proportional to 77,281.17, 106,649.37 and 43,289.39

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Solution

The fourth proportional to 77,281.17, 106,649.37 and 43,289.39 is: 59,740.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,281.17 : 106,649.37 = 43,289.39 : x
  2. Step 2: Convert to fraction form
    77,281.17/106,649.37 = 43,289.39/x
  3. Step 3: Cross multiply
    77,281.17x = 106,649.37 × 43,289.39
  4. Step 4: Simplify right side
    77,281.17x = 4,616,786,171.18
  5. Step 5: Solve for x
    x = 4,616,786,171.18/77,281.17
  6. Step 6: Final answer
    x = 59,740.12

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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.