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Finding the Fourth Proportional to 103,806.18, 155,630.76 and 43,853.22

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Solution

The fourth proportional to 103,806.18, 155,630.76 and 43,853.22 is: 65,746.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,806.18 : 155,630.76 = 43,853.22 : x
  2. Step 2: Convert to fraction form
    103,806.18/155,630.76 = 43,853.22/x
  3. Step 3: Cross multiply
    103,806.18x = 155,630.76 × 43,853.22
  4. Step 4: Simplify right side
    103,806.18x = 6,824,909,957.05
  5. Step 5: Solve for x
    x = 6,824,909,957.05/103,806.18
  6. Step 6: Final answer
    x = 65,746.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.