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Finding the Fourth Proportional to 78,970.59, 108,976.14 and 43,161.84

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Solution

The fourth proportional to 78,970.59, 108,976.14 and 43,161.84 is: 59,561.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,970.59 : 108,976.14 = 43,161.84 : x
  2. Step 2: Convert to fraction form
    78,970.59/108,976.14 = 43,161.84/x
  3. Step 3: Cross multiply
    78,970.59x = 108,976.14 × 43,161.84
  4. Step 4: Simplify right side
    78,970.59x = 4,703,610,718.50
  5. Step 5: Solve for x
    x = 4,703,610,718.50/78,970.59
  6. Step 6: Final answer
    x = 59,561.55

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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.