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Finding the Fourth Proportional to 152,756.64, 210,813.84 and 85,692.96

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Solution

The fourth proportional to 152,756.64, 210,813.84 and 85,692.96 is: 118,261.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,756.64 : 210,813.84 = 85,692.96 : x
  2. Step 2: Convert to fraction form
    152,756.64/210,813.84 = 85,692.96/x
  3. Step 3: Cross multiply
    152,756.64x = 210,813.84 × 85,692.96
  4. Step 4: Simplify right side
    152,756.64x = 18,065,261,958.57
  5. Step 5: Solve for x
    x = 18,065,261,958.57/152,756.64
  6. Step 6: Final answer
    x = 118,261.71

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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.