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Finding the Fourth Proportional to 156,642.84, 216,161.32 and 85,021.32

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Solution

The fourth proportional to 156,642.84, 216,161.32 and 85,021.32 is: 117,326.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,642.84 : 216,161.32 = 85,021.32 : x
  2. Step 2: Convert to fraction form
    156,642.84/216,161.32 = 85,021.32/x
  3. Step 3: Cross multiply
    156,642.84x = 216,161.32 × 85,021.32
  4. Step 4: Simplify right side
    156,642.84x = 18,378,320,759.34
  5. Step 5: Solve for x
    x = 18,378,320,759.34/156,642.84
  6. Step 6: Final answer
    x = 117,326.27

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1.5x scale

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.