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Finding the Fourth Proportional to 156,886.94, 216,504 and 85,266.96

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Solution

The fourth proportional to 156,886.94, 216,504 and 85,266.96 is: 117,668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,886.94 : 216,504 = 85,266.96 : x
  2. Step 2: Convert to fraction form
    156,886.94/216,504 = 85,266.96/x
  3. Step 3: Cross multiply
    156,886.94x = 216,504 × 85,266.96
  4. Step 4: Simplify right side
    156,886.94x = 18,460,637,907.84
  5. Step 5: Solve for x
    x = 18,460,637,907.84/156,886.94
  6. Step 6: Final answer
    x = 117,668.42

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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.