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Finding the Fourth Proportional to 78,596.56, 117,872.88 and 31,190.32

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Solution

The fourth proportional to 78,596.56, 117,872.88 and 31,190.32 is: 46,776.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,596.56 : 117,872.88 = 31,190.32 : x
  2. Step 2: Convert to fraction form
    78,596.56/117,872.88 = 31,190.32/x
  3. Step 3: Cross multiply
    78,596.56x = 117,872.88 × 31,190.32
  4. Step 4: Simplify right side
    78,596.56x = 3,676,492,846.52
  5. Step 5: Solve for x
    x = 3,676,492,846.52/78,596.56
  6. Step 6: Final answer
    x = 46,776.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.