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Finding the Fourth Proportional to 108,643.60, 162,965.40 and 38,513.80

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Solution

The fourth proportional to 108,643.60, 162,965.40 and 38,513.80 is: 57,770.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,643.60 : 162,965.40 = 38,513.80 : x
  2. Step 2: Convert to fraction form
    108,643.60/162,965.40 = 38,513.80/x
  3. Step 3: Cross multiply
    108,643.60x = 162,965.40 × 38,513.80
  4. Step 4: Simplify right side
    108,643.60x = 6,276,416,822.52
  5. Step 5: Solve for x
    x = 6,276,416,822.52/108,643.60
  6. Step 6: Final answer
    x = 57,770.70

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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.