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Finding the Fourth Proportional to 78,894.09, 108,869.76 and 43,077.18

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Solution

The fourth proportional to 78,894.09, 108,869.76 and 43,077.18 is: 59,444.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,894.09 : 108,869.76 = 43,077.18 : x
  2. Step 2: Convert to fraction form
    78,894.09/108,869.76 = 43,077.18/x
  3. Step 3: Cross multiply
    78,894.09x = 108,869.76 × 43,077.18
  4. Step 4: Simplify right side
    78,894.09x = 4,689,802,248.08
  5. Step 5: Solve for x
    x = 4,689,802,248.08/78,894.09
  6. Step 6: Final answer
    x = 59,444.28

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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.