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Finding the Fourth Proportional to 156,297.68, 215,690.60 and 84,678

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Solution

The fourth proportional to 156,297.68, 215,690.60 and 84,678 is: 116,855.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,297.68 : 215,690.60 = 84,678 : x
  2. Step 2: Convert to fraction form
    156,297.68/215,690.60 = 84,678/x
  3. Step 3: Cross multiply
    156,297.68x = 215,690.60 × 84,678
  4. Step 4: Simplify right side
    156,297.68x = 18,264,248,626.80
  5. Step 5: Solve for x
    x = 18,264,248,626.80/156,297.68
  6. Step 6: Final answer
    x = 116,855.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.