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Finding the Fourth Proportional to 108,632.80, 162,803.40 and 77,431.60

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Solution

The fourth proportional to 108,632.80, 162,803.40 and 77,431.60 is: 116,043.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,632.80 : 162,803.40 = 77,431.60 : x
  2. Step 2: Convert to fraction form
    108,632.80/162,803.40 = 77,431.60/x
  3. Step 3: Cross multiply
    108,632.80x = 162,803.40 × 77,431.60
  4. Step 4: Simplify right side
    108,632.80x = 12,606,127,747.44
  5. Step 5: Solve for x
    x = 12,606,127,747.44/108,632.80
  6. Step 6: Final answer
    x = 116,043.48

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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.