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Finding the Fourth Proportional to 108,803.72, 163,204.80 and 76,650.47

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Solution

The fourth proportional to 108,803.72, 163,204.80 and 76,650.47 is: 114,975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,803.72 : 163,204.80 = 76,650.47 : x
  2. Step 2: Convert to fraction form
    108,803.72/163,204.80 = 76,650.47/x
  3. Step 3: Cross multiply
    108,803.72x = 163,204.80 × 76,650.47
  4. Step 4: Simplify right side
    108,803.72x = 12,509,724,626.26
  5. Step 5: Solve for x
    x = 12,509,724,626.26/108,803.72
  6. Step 6: Final answer
    x = 114,975.16

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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.