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Finding the Fourth Proportional to 108,742.20, 163,064.70 and 42,160.20

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Solution

The fourth proportional to 108,742.20, 163,064.70 and 42,160.20 is: 63,221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,742.20 : 163,064.70 = 42,160.20 : x
  2. Step 2: Convert to fraction form
    108,742.20/163,064.70 = 42,160.20/x
  3. Step 3: Cross multiply
    108,742.20x = 163,064.70 × 42,160.20
  4. Step 4: Simplify right side
    108,742.20x = 6,874,840,364.94
  5. Step 5: Solve for x
    x = 6,874,840,364.94/108,742.20
  6. Step 6: Final answer
    x = 63,221.46

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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.