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Finding the Fourth Proportional to 108,614.60, 162,803.10 and 38,457.80

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Solution

The fourth proportional to 108,614.60, 162,803.10 and 38,457.80 is: 57,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,614.60 : 162,803.10 = 38,457.80 : x
  2. Step 2: Convert to fraction form
    108,614.60/162,803.10 = 38,457.80/x
  3. Step 3: Cross multiply
    108,614.60x = 162,803.10 × 38,457.80
  4. Step 4: Simplify right side
    108,614.60x = 6,261,049,059.18
  5. Step 5: Solve for x
    x = 6,261,049,059.18/108,614.60
  6. Step 6: Final answer
    x = 57,644.64

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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.