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Finding the Fourth Proportional to 156,967.21, 216,608.77 and 85,347.29

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Solution

The fourth proportional to 156,967.21, 216,608.77 and 85,347.29 is: 117,776.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,967.21 : 216,608.77 = 85,347.29 : x
  2. Step 2: Convert to fraction form
    156,967.21/216,608.77 = 85,347.29/x
  3. Step 3: Cross multiply
    156,967.21x = 216,608.77 × 85,347.29
  4. Step 4: Simplify right side
    156,967.21x = 18,486,971,509.73
  5. Step 5: Solve for x
    x = 18,486,971,509.73/156,967.21
  6. Step 6: Final answer
    x = 117,776.01

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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.