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Finding the Fourth Proportional to 78,972, 108,980.46 and 43,161.90

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Solution

The fourth proportional to 78,972, 108,980.46 and 43,161.90 is: 59,562.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,972 : 108,980.46 = 43,161.90 : x
  2. Step 2: Convert to fraction form
    78,972/108,980.46 = 43,161.90/x
  3. Step 3: Cross multiply
    78,972x = 108,980.46 × 43,161.90
  4. Step 4: Simplify right side
    78,972x = 4,703,803,716.47
  5. Step 5: Solve for x
    x = 4,703,803,716.47/78,972
  6. Step 6: Final answer
    x = 59,562.93

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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.