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Finding the Fourth Proportional to 108,205.60, 162,502.80 and 78,656.80

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Solution

The fourth proportional to 108,205.60, 162,502.80 and 78,656.80 is: 118,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,205.60 : 162,502.80 = 78,656.80 : x
  2. Step 2: Convert to fraction form
    108,205.60/162,502.80 = 78,656.80/x
  3. Step 3: Cross multiply
    108,205.60x = 162,502.80 × 78,656.80
  4. Step 4: Simplify right side
    108,205.60x = 12,781,950,239.04
  5. Step 5: Solve for x
    x = 12,781,950,239.04/108,205.60
  6. Step 6: Final answer
    x = 118,126.51

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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.