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Finding the Fourth Proportional to 113,532.58, 156,675 and 65,813.64

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Solution

The fourth proportional to 113,532.58, 156,675 and 65,813.64 is: 90,822.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,532.58 : 156,675 = 65,813.64 : x
  2. Step 2: Convert to fraction form
    113,532.58/156,675 = 65,813.64/x
  3. Step 3: Cross multiply
    113,532.58x = 156,675 × 65,813.64
  4. Step 4: Simplify right side
    113,532.58x = 10,311,351,263.63
  5. Step 5: Solve for x
    x = 10,311,351,263.63/113,532.58
  6. Step 6: Final answer
    x = 90,822.84

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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.